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256520480 = 2551794309
BaseRepresentation
bin11110100101000…
…11000100100000
3122212200120221112
433102203010200
51011132123410
641242042452
76233250056
oct1722430440
9585616845
10256520480
111218876a7
1271aa9428
13411b6588
14260d61d6
15177c1105
hexf4a3120

256520480 has 48 divisors (see below), whose sum is σ = 641685240. Its totient is φ = 96571392.

The previous prime is 256520471. The next prime is 256520483. The reversal of 256520480 is 84025652.

It can be written as a sum of positive squares in 4 ways, for example, as 254593936 + 1926544 = 15956^2 + 1388^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (256520483) 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 7 ways as a sum of consecutive naturals, for example, 44435 + ... + 49874.

Almost surely, 2256520480 is an apocalyptic number.

256520480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256520480 is an abundant number, since it is smaller than the sum of its proper divisors (385164760).

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

256520480 is a wasteful number, since it uses less digits than its factorization.

256520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94341 (or 94333 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 256520480 is about 16016.2567411989. The cubic root of 256520480 is about 635.3904474547.

The spelling of 256520480 in words is "two hundred fifty-six million, five hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 94309 188618 377236 471545 754472 943090 1508944 1603253 1886180 3017888 3206506 3772360 6413012 7544720 8016265 12826024 15089440 16032530 25652048 32065060 51304096 64130120 128260240 256520480