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256568820 = 22355777411
BaseRepresentation
bin11110100101011…
…10110111110100
3122212210001020220
433102232313310
51011140200240
641243054340
76233541024
oct1722566764
9585701226
10256568820
1112190aa52
1271b113b0
1341202591
1426109a84
15177d05d0
hexf4aedf4

256568820 has 48 divisors (see below), whose sum is σ = 719734848. Its totient is φ = 68290560.

The previous prime is 256568801. The next prime is 256568821. The reversal of 256568820 is 28865652.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256568821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30915 + ... + 38325.

It is an arithmetic number, because the mean of its divisors is an integer number (14994476).

Almost surely, 2256568820 is an apocalyptic number.

256568820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256568820 is an abundant number, since it is smaller than the sum of its proper divisors (463166028).

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

256568820 is a wasteful number, since it uses less digits than its factorization.

256568820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 256568820 is about 16017.7657618034. The cubic root of 256568820 is about 635.4303569973.

The spelling of 256568820 in words is "two hundred fifty-six million, five hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 577 1154 1731 2308 2885 3462 5770 6924 7411 8655 11540 14822 17310 22233 29644 34620 37055 44466 74110 88932 111165 148220 222330 444660 4276147 8552294 12828441 17104588 21380735 25656882 42761470 51313764 64142205 85522940 128284410 256568820