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256442652 = 223311321013
BaseRepresentation
bin11110100100100…
…00000100011100
3122212112122012000
433102100010130
51011122131102
641240242300
76232504134
oct1722200434
9585478160
10256442652
11121834184
1271a70390
134118a01b
14260b5ac4
15177a801c
hexf49011c

256442652 has 48 divisors (see below), whose sum is σ = 670766880. Its totient is φ = 84720384.

The previous prime is 256442623. The next prime is 256442653. The reversal of 256442652 is 256244652.

256442652 is a `hidden beast` number, since 2 + 5 + 644 + 2 + 6 + 5 + 2 = 666.

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 (256442653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (13974310).

Almost surely, 2256442652 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 256442652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335383440).

256442652 is an abundant number, since it is smaller than the sum of its proper divisors (414324228).

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

256442652 is a wasteful number, since it uses less digits than its factorization.

256442652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21139 (or 21131 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 256442652 is about 16013.8269005257. The cubic root of 256442652 is about 635.3261820599.

The spelling of 256442652 in words is "two hundred fifty-six million, four hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 21013 42026 63039 84052 126078 189117 252156 378234 567351 756468 1134702 2269404 2374469 4748938 7123407 9497876 14246814 21370221 28493628 42740442 64110663 85480884 128221326 256442652