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256465480 = 23531206827
BaseRepresentation
bin11110100100101…
…01101001001000
3122212120210111111
433102111221020
51011123343410
641240540104
76232630525
oct1722255110
9585523444
10256465480
1112184a347
1271a81634
134119752b
14260c014c
15177aeb8a
hexf495a48

256465480 has 32 divisors (see below), whose sum is σ = 595664640. Its totient is φ = 99276480.

The previous prime is 256465471. The next prime is 256465487. The reversal of 256465480 is 84564652.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (256465487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102174 + ... + 104653.

It is an arithmetic number, because the mean of its divisors is an integer number (18614520).

Almost surely, 2256465480 is an apocalyptic number.

256465480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256465480 is an abundant number, since it is smaller than the sum of its proper divisors (339199160).

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

256465480 is a wasteful number, since it uses less digits than its factorization.

256465480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206869 (or 206865 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 256465480 is about 16014.5396437113. The cubic root of 256465480 is about 635.3450333127.

The spelling of 256465480 in words is "two hundred fifty-six million, four hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 206827 413654 827308 1034135 1654616 2068270 4136540 6411637 8273080 12823274 25646548 32058185 51293096 64116370 128232740 256465480