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256502664 = 2332111719051
BaseRepresentation
bin11110100100111…
…10101110001000
3122212122200111200
433102132232020
51011131041124
641241424200
76233144115
oct1722365610
9585580450
10256502664
11121875280
1271a9b060
13411ab432
14260cd90c
15177babc9
hexf49eb88

256502664 has 96 divisors (see below), whose sum is σ = 802470240. Its totient is φ = 73152000.

The previous prime is 256502663. The next prime is 256502689. The reversal of 256502664 is 466205652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256502663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3939 + ... + 22989.

It is an arithmetic number, because the mean of its divisors is an integer number (8359065).

Almost surely, 2256502664 is an apocalyptic number.

256502664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256502664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401235120).

256502664 is an abundant number, since it is smaller than the sum of its proper divisors (545967576).

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

256502664 is a wasteful number, since it uses less digits than its factorization.

256502664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19091 (or 19084 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 256502664 is about 16015.7005466511. The cubic root of 256502664 is about 635.3757372864.

The spelling of 256502664 in words is "two hundred fifty-six million, five hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 19051 38102 57153 76204 114306 152408 171459 209561 228612 323867 342918 419122 457224 628683 647734 685836 838244 971601 1257366 1295468 1371672 1676488 1886049 1943202 2514732 2590936 2914803 3562537 3772098 3886404 5029464 5829606 7125074 7544196 7772808 10687611 11659212 14250148 15088392 21375222 23318424 28500296 32062833 42750444 64125666 85500888 128251332 256502664