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25930032 = 2431743739
BaseRepresentation
bin110001011101…
…0100100110000
31210210101022120
41202322210300
523114230112
62323434240
7433254522
oct142724460
953711276
1025930032
1113700687
128825980
1354ab61b
14362da12
152422e8c
hex18ba930

25930032 has 80 divisors (see below), whose sum is σ = 72673920. Its totient is φ = 7934976.

The previous prime is 25930019. The next prime is 25930097. The reversal of 25930032 is 23003952.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 25929984 and 25930011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34719 + ... + 35457.

It is an arithmetic number, because the mean of its divisors is an integer number (908424).

Almost surely, 225930032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25930032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36336960).

25930032 is an abundant number, since it is smaller than the sum of its proper divisors (46743888).

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

25930032 is a wasteful number, since it uses less digits than its factorization.

25930032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 25930032 is about 5092.1539646794. The cubic root of 25930032 is about 295.9836246115.

Adding to 25930032 its reverse (23003952), we get a palindrome (48933984).

The spelling of 25930032 in words is "twenty-five million, nine hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 739 816 1032 1462 1478 2064 2193 2217 2924 2956 4386 4434 5848 5912 8772 8868 11696 11824 12563 17544 17736 25126 31777 35088 35472 37689 50252 63554 75378 95331 100504 127108 150756 190662 201008 254216 301512 381324 508432 540209 603024 762648 1080418 1525296 1620627 2160836 3241254 4321672 6482508 8643344 12965016 25930032