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2024494056 = 2332136473343
BaseRepresentation
bin111100010101011…
…0101001111101000
312020002102221202100
41320222311033220
513121232302211
6532515533400
7101111626014
oct17052651750
95202387670
102024494056
11949857392
12485bba260
132635721a0
14152c33544
15bcb00156
hex78ab53e8

2024494056 has 96 divisors (see below), whose sum is σ = 5915669760. Its totient is φ = 621772416.

The previous prime is 2024494049. The next prime is 2024494057. The reversal of 2024494056 is 6504944202.

2024494056 is a `hidden beast` number, since 2 + 0 + 244 + 9 + 405 + 6 = 666.

It is a super-3 number, since 3×20244940563 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2024494056.

It is not an unprimeable number, because it can be changed into a prime (2024494057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603921 + ... + 607263.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560).

Almost surely, 22024494056 is an apocalyptic number.

2024494056 is a gapful number since it is divisible by the number (26) 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 2024494056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2024494056 is an abundant number, since it is smaller than the sum of its proper divisors (3891175704).

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

2024494056 is a wasteful number, since it uses less digits than its factorization.

2024494056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2024494056 is about 44994.3780488185. The cubic root of 2024494056 is about 1265.0436238191.

The spelling of 2024494056 in words is "two billion, twenty-four million, four hundred ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 647 936 1294 1941 2588 3343 3882 5176 5823 6686 7764 8411 10029 11646 13372 15528 16822 20058 23292 25233 26744 30087 33644 40116 43459 46584 50466 60174 67288 75699 80232 86918 100932 120348 130377 151398 173836 201864 240696 260754 302796 347672 391131 521508 605592 782262 1043016 1564524 2162921 3129048 4325842 6488763 8651684 12977526 17303368 19466289 25955052 28117973 38932578 51910104 56235946 77865156 84353919 112471892 155730312 168707838 224943784 253061757 337415676 506123514 674831352 1012247028 2024494056