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12557968 = 2417137337
BaseRepresentation
bin101111111001…
…111010010000
3212122000021221
4233321322100
511203323333
61125054424
7211512103
oct57717220
925560257
1012557968
1170a7a95
124257414
1327a8c67
14194c73a
151180d2d
hexbf9e90

12557968 has 40 divisors (see below), whose sum is σ = 26027352. Its totient is φ = 5849088.

The previous prime is 12557953. The next prime is 12557969. The reversal of 12557968 is 86975521.

It can be written as a sum of positive squares in 4 ways, for example, as 2521744 + 10036224 = 1588^2 + 3168^2 .

It is not an unprimeable number, because it can be changed into a prime (12557969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37096 + ... + 37432.

Almost surely, 212557968 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 12557968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13013676).

12557968 is an abundant number, since it is smaller than the sum of its proper divisors (13469384).

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

12557968 is a wasteful number, since it uses less digits than its factorization.

12557968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

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

The square root of 12557968 is about 3543.7223367527. The cubic root of 12557968 is about 232.4376400375.

The spelling of 12557968 in words is "twelve million, five hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 137 272 274 337 548 674 1096 1348 2192 2329 2696 4658 5392 5729 9316 11458 18632 22916 37264 45832 46169 91664 92338 184676 369352 738704 784873 1569746 3139492 6278984 12557968