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25715968 = 281719311
BaseRepresentation
bin110001000011…
…0010100000000
31210101111200021
41202012110000
523040402333
62315103224
7431403445
oct142062400
953344607
1025715968
1113574873
128741b14
135435065
1435b59cc
1523ce82d
hex1886500

25715968 has 72 divisors (see below), whose sum is σ = 57395520. Its totient is φ = 11427840.

The previous prime is 25715959. The next prime is 25715969. The reversal of 25715968 is 86951752.

It is a super-2 number, since 2×257159682 = 1322622020354048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25715969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 82533 + ... + 82843.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 225715968 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 25715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697760).

25715968 is an abundant number, since it is smaller than the sum of its proper divisors (31679552).

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

25715968 is a wasteful number, since it uses less digits than its factorization.

25715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The square root of 25715968 is about 5071.0914012666. The cubic root of 25715968 is about 295.1668805856.

The spelling of 25715968 in words is "twenty-five million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 311 323 544 608 622 646 1088 1216 1244 1292 2176 2432 2488 2584 4352 4864 4976 5168 5287 5909 9952 10336 10574 11818 19904 20672 21148 23636 39808 41344 42296 47272 79616 82688 84592 94544 100453 169184 189088 200906 338368 378176 401812 676736 756352 803624 1353472 1512704 1607248 3214496 6428992 12857984 25715968