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258255968 = 2571197577
BaseRepresentation
bin11110110010010…
…10110001100000
3122222221202120212
433121022301200
51012103142333
641343153252
76254065565
oct1731126140
9588852525
10258255968
11122862593
12725a5828
13416734a9
142642886c
1517a15448
hexf64ac60

258255968 has 48 divisors (see below), whose sum is σ = 519117984. Its totient is φ = 126443520.

The previous prime is 258255941. The next prime is 258255971. The reversal of 258255968 is 869552852.

It is a super-2 number, since 2×2582559682 = 133392290015234048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447296 + ... + 447872.

It is an arithmetic number, because the mean of its divisors is an integer number (10814958).

Almost surely, 2258255968 is an apocalyptic number.

It is an amenable number.

258255968 is an abundant number, since it is smaller than the sum of its proper divisors (260862016).

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

258255968 is a wasteful number, since it uses less digits than its factorization.

258255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 50.

The square root of 258255968 is about 16070.3443646986. The cubic root of 258255968 is about 636.8201383748.

The spelling of 258255968 in words is "two hundred fifty-eight million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 71 142 197 284 394 568 577 788 1136 1154 1576 2272 2308 3152 4616 6304 9232 13987 18464 27974 40967 55948 81934 111896 113669 163868 223792 227338 327736 447584 454676 655472 909352 1310944 1818704 3637408 8070499 16140998 32281996 64563992 129127984 258255968