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25345164 = 223131719503
BaseRepresentation
bin110000010101…
…1110010001100
31202200200000210
41200223302030
522442021124
62303122420
7425300415
oct140536214
952620023
1025345164
1113341219
1285a3410
135335350
14351a80c
152359a29
hex182bc8c

25345164 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 6939648.

The previous prime is 25345157. The next prime is 25345193. The reversal of 25345164 is 46154352.

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 31 ways as a sum of consecutive naturals, for example, 50137 + ... + 50639.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 225345164 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 25345164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

25345164 is an abundant number, since it is smaller than the sum of its proper divisors (45779316).

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

25345164 is a wasteful number, since it uses less digits than its factorization.

25345164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 25345164 is about 5034.3980772283. The cubic root of 25345164 is about 293.7413153310.

The spelling of 25345164 in words is "twenty-five million, three hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 503 646 663 741 884 969 988 1006 1292 1326 1482 1509 1938 2012 2652 2964 3018 3876 4199 6036 6539 8398 8551 9557 12597 13078 16796 17102 19114 19617 25194 25653 26156 28671 34204 38228 39234 50388 51306 57342 78468 102612 111163 114684 124241 162469 222326 248482 324938 333489 372723 444652 487407 496964 649876 666978 745446 974814 1333956 1490892 1949628 2112097 4224194 6336291 8448388 12672582 25345164