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64608768 = 293272003
BaseRepresentation
bin1111011001110…
…1101000000000
311111120110120100
43312131220000
5113014440033
610224442400
71413110520
oct366355000
9144513510
1064608768
1133519584
1219779400
1310501953
14881b680
155a13513
hex3d9da00

64608768 has 120 divisors (see below), whose sum is σ = 213209568. Its totient is φ = 18450432.

The previous prime is 64608751. The next prime is 64608787. The reversal of 64608768 is 86780646.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31255 + ... + 33257.

Almost surely, 264608768 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 64608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106604784).

64608768 is an abundant number, since it is smaller than the sum of its proper divisors (148600800).

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

64608768 is a wasteful number, since it uses less digits than its factorization.

64608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 64608768 is about 8037.9579496287. The cubic root of 64608768 is about 401.2642665321.

The spelling of 64608768 in words is "sixty-four million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2003 2016 2304 2688 3584 4006 4032 4608 5376 6009 8012 8064 10752 12018 14021 16024 16128 18027 24036 28042 32048 32256 36054 42063 48072 56084 64096 72108 84126 96144 112168 126189 128192 144216 168252 192288 224336 252378 256384 288432 336504 384576 448672 504756 512768 576864 673008 769152 897344 1009512 1025536 1153728 1346016 1538304 1794688 2019024 2307456 2692032 3076608 3589376 4038048 4614912 5384064 7178752 8076096 9229824 10768128 16152192 21536256 32304384 64608768