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268157712 = 24341891531
BaseRepresentation
bin11111111101111…
…00001100010000
3200200120211020010
433332330030100
51022122021322
642335314520
76434205624
oct1776741420
9620524203
10268157712
11128405949
127597ba40
134372c404
1427885184
151881e20c
hexffbc310

268157712 has 80 divisors (see below), whose sum is σ = 718079040. Its totient is φ = 86169600.

The previous prime is 268157653. The next prime is 268157717. The reversal of 268157712 is 217751862.

It is not an unprimeable number, because it can be changed into a prime (268157717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174387 + ... + 175917.

It is an arithmetic number, because the mean of its divisors is an integer number (8975988).

Almost surely, 2268157712 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 268157712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359039520).

268157712 is an abundant number, since it is smaller than the sum of its proper divisors (449921328).

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

268157712 is a wasteful number, since it uses less digits than its factorization.

268157712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 268157712 is about 16375.5217321464. The cubic root of 268157712 is about 644.8570177625.

The spelling of 268157712 in words is "two hundred sixty-eight million, one hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 89 123 164 178 246 267 328 356 492 534 656 712 984 1068 1424 1531 1968 2136 3062 3649 4272 4593 6124 7298 9186 10947 12248 14596 18372 21894 24496 29192 36744 43788 58384 62771 73488 87576 125542 136259 175152 188313 251084 272518 376626 408777 502168 545036 753252 817554 1004336 1090072 1506504 1635108 2180144 3013008 3270216 5586619 6540432 11173238 16759857 22346476 33519714 44692952 67039428 89385904 134078856 268157712