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25085376 = 26351613
BaseRepresentation
bin101111110110…
…0010111000000
31202012110200000
41133230113000
522410213001
62253400000
7423136131
oct137542700
952173600
1025085376
1113184018
128499000
135274024
14348dc88
152307a86
hex17ec5c0

25085376 has 84 divisors (see below), whose sum is σ = 74611992. Its totient is φ = 8356608.

The previous prime is 25085329. The next prime is 25085381. The reversal of 25085376 is 67358052.

It is a super-2 number, since 2×250853762 = 1258552178122752, which contains 22 as substring.

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 25085376.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14746 + ... + 16358.

It is an arithmetic number, because the mean of its divisors is an integer number (888238).

Almost surely, 225085376 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 25085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305996).

25085376 is an abundant number, since it is smaller than the sum of its proper divisors (49526616).

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

25085376 is an equidigital number, since it uses as much as digits as its factorization.

25085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 25085376 is about 5008.5303233583. The cubic root of 25085376 is about 292.7342502192.

The spelling of 25085376 in words is "twenty-five million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1613 1728 1944 2592 3226 3888 4839 5184 6452 7776 9678 12904 14517 15552 19356 25808 29034 38712 43551 51616 58068 77424 87102 103232 116136 130653 154848 174204 232272 261306 309696 348408 391959 464544 522612 696816 783918 929088 1045224 1393632 1567836 2090448 2787264 3135672 4180896 6271344 8361792 12542688 25085376