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256532472 = 23327598627
BaseRepresentation
bin11110100101001…
…01111111111000
3122212201012101200
433102211333320
51011133014342
641242214200
76233330040
oct1722457770
9585635350
10256532472
11121895709
1271ab4360
13411bbb81
14260da720
15177c494c
hexf4a5ff8

256532472 has 96 divisors (see below), whose sum is σ = 807580800. Its totient is φ = 72044352.

The previous prime is 256532461. The next prime is 256532483. The reversal of 256532472 is 274235652.

256532472 is a `hidden beast` number, since 2 + 56 + 532 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (256532461) and next prime (256532483).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25423 + ... + 34049.

It is an arithmetic number, because the mean of its divisors is an integer number (8412300).

Almost surely, 2256532472 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 256532472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403790400).

256532472 is an abundant number, since it is smaller than the sum of its proper divisors (551048328).

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

256532472 is a wasteful number, since it uses less digits than its factorization.

256532472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8698 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 256532472 is about 16016.6311064468. The cubic root of 256532472 is about 635.4003485270.

The spelling of 256532472 in words is "two hundred fifty-six million, five hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 8627 9912 14868 17254 25881 29736 34508 51762 60389 69016 77643 103524 120778 155286 181167 207048 241556 310572 362334 483112 508993 543501 621144 724668 1017986 1087002 1449336 1526979 2035972 2174004 3053958 3562951 4071944 4348008 4580937 6107916 7125902 9161874 10688853 12215832 14251804 18323748 21377706 28503608 32066559 36647496 42755412 64133118 85510824 128266236 256532472