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64768896 = 27346247
BaseRepresentation
bin1111011100010…
…0101110000000
311111212121020000
43313010232000
5113040101041
610232120000
71414345413
oct367045600
9144777200
1064768896
1133618915
1219836000
13105597ba
14885db7a
155a45bb6
hex3dc4b80

64768896 has 80 divisors (see below), whose sum is σ = 192782040. Its totient is φ = 21586176.

The previous prime is 64768877. The next prime is 64768901. The reversal of 64768896 is 69886746.

64768896 is a `hidden beast` number, since 6 + 476 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7245 + ... + 13491.

Almost surely, 264768896 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 64768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96391020).

64768896 is an abundant number, since it is smaller than the sum of its proper divisors (128013144).

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

64768896 is an equidigital number, since it uses as much as digits as its factorization.

64768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6252 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 64768896 is about 8047.9125243755. The cubic root of 64768896 is about 401.5954942009.

The spelling of 64768896 in words is "sixty-four million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 6247 10368 12494 18741 24988 37482 49976 56223 74964 99952 112446 149928 168669 199904 224892 299856 337338 399808 449784 506007 599712 674676 799616 899568 1012014 1199424 1349352 1799136 2024028 2398848 2698704 3598272 4048056 5397408 7196544 8096112 10794816 16192224 21589632 32384448 64768896