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2052543024 = 24337809839
BaseRepresentation
bin111101001010111…
…0101001000110000
312022001012222201000
41322111311020300
513200422334044
6535401042000
7101602220310
oct17225651060
95261188630
102052543024
11963674a54
12493486300
132693130cc
14156855440
15c02e0d69
hex7a575230

2052543024 has 160 divisors (see below), whose sum is σ = 6749568000. Its totient is φ = 585017856.

The previous prime is 2052543019. The next prime is 2052543029. The reversal of 2052543024 is 4203452502.

It is a happy number.

2052543024 is a `hidden beast` number, since 205 + 2 + 5 + 430 + 24 = 666.

It is a Cunningham number, because it is equal to 453052-1.

It is an interprime number because it is at equal distance from previous prime (2052543019) and next prime (2052543029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2052543029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2445997 + ... + 2446835.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 22052543024 is an apocalyptic number.

2052543024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052543024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).

2052543024 is an abundant number, since it is smaller than the sum of its proper divisors (4697024976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2052543024 is a wasteful number, since it uses less digits than its factorization.

2052543024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2052543024 is about 45304.9999889637. Note that the first 4 decimals coincide. The cubic root of 2052543024 is about 1270.8591586584.

Adding to 2052543024 its reverse (4203452502), we get a palindrome (6255995526).

The spelling of 2052543024 in words is "two billion, fifty-two million, five hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 809 839 1008 1512 1618 1678 2427 2517 3024 3236 3356 4854 5034 5663 5873 6472 6712 7281 7551 9708 10068 11326 11746 12944 13424 14562 15102 16989 17619 19416 20136 21843 22652 22653 23492 29124 30204 33978 35238 38832 40272 43686 45304 45306 46984 50967 52857 58248 60408 67956 70476 87372 90608 90612 93968 101934 105714 116496 120816 135912 140952 152901 158571 174744 181224 203868 211428 271824 281904 305802 317142 349488 362448 407736 422856 611604 634284 678751 815472 845712 1223208 1268568 1357502 2036253 2446416 2537136 2715004 4072506 4751257 5430008 6108759 8145012 9502514 10860016 12217518 14253771 16290024 18326277 19005028 24435036 28507542 32580048 36652554 38010056 42761313 48870072 57015084 73305108 76020112 85522626 97740144 114030168 128283939 146610216 171045252 228060336 256567878 293220432 342090504 513135756 684181008 1026271512 2052543024