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2544533442 = 2321127271607
BaseRepresentation
bin1001011110101010…
…0111111111000010
320120022222200200100
42113222213333002
520202400032232
61100254103230
7120025114563
oct22752477702
96508880610
102544533442
111096360700
125b01aab16
133172225b9
141a1d2416a
15ed5c5c7c
hex97aa7fc2

2544533442 has 72 divisors (see below), whose sum is σ = 6072026688. Its totient is φ = 769530960.

The previous prime is 2544533419. The next prime is 2544533461. The reversal of 2544533442 is 2443354452.

It is a junction number, because it is equal to n+sod(n) for n = 2544533397 and 2544533406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1582603 + ... + 1584209.

It is an arithmetic number, because the mean of its divisors is an integer number (84333704).

Almost surely, 22544533442 is an apocalyptic number.

2544533442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544533442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036013344).

2544533442 is an abundant number, since it is smaller than the sum of its proper divisors (3527493246).

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

2544533442 is a wasteful number, since it uses less digits than its factorization.

2544533442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2350 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 2544533442 is about 50443.3686622930. The cubic root of 2544533442 is about 1365.2202486447.

Adding to 2544533442 its reverse (2443354452), we get a palindrome (4987887894).

The spelling of 2544533442 in words is "two billion, five hundred forty-four million, five hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 727 1089 1454 1607 2178 2181 3214 4362 4821 6543 7997 9642 13086 14463 15994 17677 23991 28926 35354 47982 53031 71973 87967 106062 143946 159093 175934 194447 263901 318186 388894 527802 583341 791703 1166682 1168289 1583406 1750023 2336578 3500046 3504867 7009734 10514601 12851179 21029202 25702358 38553537 77107074 115660611 141362969 231321222 282725938 424088907 848177814 1272266721 2544533442