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256425056 = 2531733541
BaseRepresentation
bin11110100100010…
…11110001100000
3122212111202001022
433102023301200
51011121100211
641240025012
76232401626
oct1722136140
9585452038
10256425056
11121821a38
1271a62168
1341182004
14260ad516
15177a2bdb
hexf48bc60

256425056 has 48 divisors (see below), whose sum is σ = 528409728. Its totient is φ = 122342400.

The previous prime is 256425031. The next prime is 256425089. The reversal of 256425056 is 650524652.

It is a congruent number.

It is an unprimeable number.

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, 70646 + ... + 74186.

It is an arithmetic number, because the mean of its divisors is an integer number (11008536).

Almost surely, 2256425056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256425056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264204864).

256425056 is an abundant number, since it is smaller than the sum of its proper divisors (271984672).

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

256425056 is a wasteful number, since it uses less digits than its factorization.

256425056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 256425056 is about 16013.2774908824. The cubic root of 256425056 is about 635.3116506041.

The spelling of 256425056 in words is "two hundred fifty-six million, four hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 992 1168 2263 2336 3541 4526 7082 9052 14164 18104 28328 36208 56656 72416 109771 113312 219542 258493 439084 516986 878168 1033972 1756336 2067944 3512672 4135888 8013283 8271776 16026566 32053132 64106264 128212528 256425056