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25395968 = 28132587
BaseRepresentation
bin110000011100…
…0001100000000
31202210020201102
41200320030000
523000132333
62304153532
7425601503
oct140701400
952706642
1025395968
1113376404
1286088a8
135352500
14353113a
152369ae8
hex1838300

25395968 has 54 divisors (see below), whose sum is σ = 54985644. Its totient is φ = 11701248.

The previous prime is 25395941. The next prime is 25395971. The reversal of 25395968 is 86959352.

It is a zygodrome in base 2.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 42971 + ... + 43557.

Almost surely, 225395968 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 25395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27492822).

25395968 is an abundant number, since it is smaller than the sum of its proper divisors (29589676).

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

25395968 is an equidigital number, since it uses as much as digits as its factorization.

25395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 602 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The square root of 25395968 is about 5039.4412388677. The cubic root of 25395968 is about 293.9374510217.

The spelling of 25395968 in words is "twenty-five million, three hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 587 676 832 1174 1352 1664 2348 2704 3328 4696 5408 7631 9392 10816 15262 18784 21632 30524 37568 43264 61048 75136 99203 122096 150272 198406 244192 396812 488384 793624 976768 1587248 1953536 3174496 6348992 12697984 25395968