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64000256 = 2853289
BaseRepresentation
bin1111010000100…
…1000100000000
311110102112211212
43310021010000
5112341002011
610203425252
71404664445
oct364110400
9143375755
1064000256
1133143381
1219525228
131034a998
1486dd9cc
15594308b
hex3d09100

64000256 has 54 divisors (see below), whose sum is σ = 131669370. Its totient is φ = 31043584.

The previous prime is 64000249. The next prime is 64000273. The reversal of 64000256 is 65200046.

It can be written as a sum of positive squares in 3 ways, for example, as 12390400 + 51609856 = 3520^2 + 7184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 719060 + ... + 719148.

Almost surely, 264000256 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 64000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65834685).

64000256 is an abundant number, since it is smaller than the sum of its proper divisors (67669114).

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

64000256 is an frugal number, since it uses more digits than its factorization.

64000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 64000256 is about 8000.0159999840. The cubic root of 64000256 is about 400.0005333326. Note that the first 3 decimals are identical.

The spelling of 64000256 in words is "sixty-four million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 53 64 89 106 128 178 212 256 356 424 712 848 1424 1696 2809 2848 3392 4717 5618 5696 6784 9434 11236 11392 13568 18868 22472 22784 37736 44944 75472 89888 150944 179776 250001 301888 359552 500002 603776 719104 1000004 1207552 2000008 4000016 8000032 16000064 32000128 64000256