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64394688 = 263312349
BaseRepresentation
bin1111010110100…
…1010111000000
311111011120220110
43311221113000
5112441112223
610220111320
71411226421
oct365512700
9144146813
1064394688
1133392756
1219695540
1310458387
1487a3648
1559bed93
hex3d695c0

64394688 has 84 divisors (see below), whose sum is σ = 176555400. Its totient is φ = 20712960.

The previous prime is 64394663. The next prime is 64394767. The reversal of 64394688 is 88649346.

64394688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 184338 + ... + 184686.

It is an arithmetic number, because the mean of its divisors is an integer number (2101850).

Almost surely, 264394688 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 64394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88277700).

64394688 is an abundant number, since it is smaller than the sum of its proper divisors (112160712).

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

64394688 is a wasteful number, since it uses less digits than its factorization.

64394688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 385 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 64394688 is about 8024.6300849323. The cubic root of 64394688 is about 400.8205821280.

The spelling of 64394688 in words is "sixty-four million, three hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 349 372 496 698 744 961 992 1047 1396 1488 1922 1984 2094 2792 2883 2976 3844 4188 5584 5766 5952 7688 8376 10819 11168 11532 15376 16752 21638 22336 23064 30752 32457 33504 43276 46128 61504 64914 67008 86552 92256 129828 173104 184512 259656 335389 346208 519312 670778 692416 1006167 1038624 1341556 2012334 2077248 2683112 4024668 5366224 8049336 10732448 16098672 21464896 32197344 64394688