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255606464 = 2629413359
BaseRepresentation
bin11110011110000…
…11111011000000
3122210222011011002
433033003323000
51010413401324
641210311132
76222422231
oct1717037300
9583864132
10255606464
11121312a13
12717284a8
1340c56539
1425d39088
15176903ae
hexf3c3ec0

255606464 has 56 divisors (see below), whose sum is σ = 537667200. Its totient is φ = 120350720.

The previous prime is 255606443. The next prime is 255606469. The reversal of 255606464 is 464606552.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (255606469) 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, 74417 + ... + 77775.

It is an arithmetic number, because the mean of its divisors is an integer number (9601200).

Almost surely, 2255606464 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 255606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268833600).

255606464 is an abundant number, since it is smaller than the sum of its proper divisors (282060736).

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

255606464 is a wasteful number, since it uses less digits than its factorization.

255606464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 255606464 is about 15987.6972700886. The cubic root of 255606464 is about 634.6348896204.

The spelling of 255606464 in words is "two hundred fifty-five million, six hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1312 1856 2378 2624 3359 4756 6718 9512 13436 19024 26872 38048 53744 76096 97411 107488 137719 194822 214976 275438 389644 550876 779288 1101752 1558576 2203504 3117152 3993851 4407008 6234304 7987702 8814016 15975404 31950808 63901616 127803232 255606464