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255456162 = 232131139661
BaseRepresentation
bin11110011100111…
…11001110100010
3122210200111222100
433032133032202
51010344044122
641203151230
76221225103
oct1716371642
9583614870
10255456162
1112121aaa5
1271675516
1340c02cc0
1425cda3aa
1517660aac
hexf39f3a2

255456162 has 48 divisors (see below), whose sum is σ = 601401528. Its totient is φ = 77898240.

The previous prime is 255456107. The next prime is 255456211. The reversal of 255456162 is 261654552.

It can be written as a sum of positive squares in 4 ways, for example, as 18326961 + 237129201 = 4281^2 + 15399^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21612 + ... + 31272.

Almost surely, 2255456162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255456162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300700764).

255456162 is an abundant number, since it is smaller than the sum of its proper divisors (345945366).

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

255456162 is a wasteful number, since it uses less digits than its factorization.

255456162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9792 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 255456162 is about 15982.9960270282. The cubic root of 255456162 is about 634.5104723237.

The spelling of 255456162 in words is "two hundred fifty-five million, four hundred fifty-six thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 8814 9661 13221 19322 26442 28983 57966 86949 125593 173898 251186 376779 753558 1091693 1130337 2183386 2260674 3275079 6550158 9825237 14192009 19650474 28384018 42576027 85152054 127728081 255456162