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25335968 = 257195953
BaseRepresentation
bin110000010100…
…1100010100000
31202200012102012
41200221202200
522441222333
62303012052
7425231540
oct140514240
952605365
1025335968
1113335319
12859a028
1353310c8
143517320
152356e48
hex18298a0

25335968 has 48 divisors (see below), whose sum is σ = 60016320. Its totient is φ = 10285056.

The previous prime is 25335953. The next prime is 25335971. The reversal of 25335968 is 86953352.

It is a super-2 number, since 2×253359682 = 1283822548994048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (1250340).

Almost surely, 225335968 is an apocalyptic number.

25335968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008160).

25335968 is an abundant number, since it is smaller than the sum of its proper divisors (34680352).

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

25335968 is a wasteful number, since it uses less digits than its factorization.

25335968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5981 counting only the distinct ones).

The product of its digits is 194400, while the sum is 41.

The square root of 25335968 is about 5033.4846776364. The cubic root of 25335968 is about 293.7057849250.

The spelling of 25335968 in words is "twenty-five million, three hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 5953 11906 23812 41671 47624 83342 95248 113107 166684 190496 226214 333368 452428 666736 791749 904856 1333472 1583498 1809712 3166996 3619424 6333992 12667984 25335968