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255246264 = 2332713163239
BaseRepresentation
bin11110011011010…
…11111110111000
3122210021212001100
433031223332320
51010320340024
641154451400
76216362130
oct1715537670
9583255040
10255246264
11121097329
1271593b60
1340b5b5c0
1425c83ac0
151761d7c9
hexf36bfb8

255246264 has 192 divisors, whose sum is σ = 859622400. Its totient is φ = 66624768.

The previous prime is 255246263. The next prime is 255246283. The reversal of 255246264 is 462642552.

255246264 is a `hidden beast` number, since 2 + 5 + 5 + 24 + 626 + 4 = 666.

255246264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (255246263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067857 + ... + 1068095.

It is an arithmetic number, because the mean of its divisors is an integer number (4477200).

Almost surely, 2255246264 is an apocalyptic number.

255246264 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 255246264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429811200).

255246264 is an abundant number, since it is smaller than the sum of its proper divisors (604376136).

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

255246264 is a wasteful number, since it uses less digits than its factorization.

255246264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

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

The square root of 255246264 is about 15976.4283868454. The cubic root of 255246264 is about 634.3366408378.

The spelling of 255246264 in words is "two hundred fifty-five million, two hundred forty-six thousand, two hundred sixty-four".