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25152768 = 28341213
BaseRepresentation
bin101111111110…
…0110100000000
31202022220010000
41133330310000
522414342033
62255040000
7423536454
oct137746400
952286100
1025152768
111321a713
128510000
1352988c4
1434aa664
15231ca13
hex17fcd00

25152768 has 90 divisors (see below), whose sum is σ = 75062834. Its totient is φ = 8377344.

The previous prime is 25152767. The next prime is 25152791. The reversal of 25152768 is 86725152.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15116544 + 10036224 = 3888^2 + 3168^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (25152767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20130 + ... + 21342.

Almost surely, 225152768 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 25152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37531417).

25152768 is an abundant number, since it is smaller than the sum of its proper divisors (49910066).

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

25152768 is an equidigital number, since it uses as much as digits as its factorization.

25152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1218 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 25152768 is about 5015.2535329732. The cubic root of 25152768 is about 292.9961598739.

The spelling of 25152768 in words is "twenty-five million, one hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1213 1296 1728 2304 2426 2592 3456 3639 4852 5184 6912 7278 9704 10368 10917 14556 19408 20736 21834 29112 32751 38816 43668 58224 65502 77632 87336 98253 116448 131004 155264 174672 196506 232896 262008 310528 349344 393012 465792 524016 698688 786024 931584 1048032 1397376 1572048 2096064 2794752 3144096 4192128 6288192 8384256 12576384 25152768