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25240896 = 2636541
BaseRepresentation
bin110000001001…
…0010101000000
31202111101000000
41200102111000
522430202041
62301000000
7424354422
oct140222500
952441000
1025240896
111327a94a
128553000
1352c9a55
1434d0812
152338bb6
hex1812540

25240896 has 98 divisors (see below), whose sum is σ = 75235562. Its totient is φ = 8398080.

The previous prime is 25240877. The next prime is 25240939. The reversal of 25240896 is 69804252.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 4665600 = 4536^2 + 2160^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 25240896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46386 + ... + 46926.

Almost surely, 225240896 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 25240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37617781).

25240896 is an abundant number, since it is smaller than the sum of its proper divisors (49994666).

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

25240896 is an frugal number, since it uses more digits than its factorization.

25240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 25240896 is about 5024.0318470328. The cubic root of 25240896 is about 293.3379521770.

The spelling of 25240896 in words is "twenty-five million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 541 576 648 729 864 972 1082 1296 1458 1623 1728 1944 2164 2592 2916 3246 3888 4328 4869 5184 5832 6492 7776 8656 9738 11664 12984 14607 15552 17312 19476 23328 25968 29214 34624 38952 43821 46656 51936 58428 77904 87642 103872 116856 131463 155808 175284 233712 262926 311616 350568 394389 467424 525852 701136 788778 934848 1051704 1402272 1577556 2103408 2804544 3155112 4206816 6310224 8413632 12620448 25240896