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64264464 = 243211291399
BaseRepresentation
bin1111010100100…
…1100100010000
311110220222021100
43311021210100
5112422430324
610213224400
71410144645
oct365114420
9143828240
1064264464
1133303930
1219632100
1310411014
14876bdcc
1559964c9
hex3d49910

64264464 has 120 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 18789120.

The previous prime is 64264423. The next prime is 64264531. The reversal of 64264464 is 46446246.

It is a happy number.

64264464 is a `hidden beast` number, since 6 + 4 + 2 + 644 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45237 + ... + 46635.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 264264464 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 64264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

64264464 is an abundant number, since it is smaller than the sum of its proper divisors (138847536).

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

64264464 is a wasteful number, since it uses less digits than its factorization.

64264464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1444 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 64264464 is about 8016.5119596992. The cubic root of 64264464 is about 400.5502094934.

The spelling of 64264464 in words is "sixty-four million, two hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1399 1584 1914 2088 2552 2798 2871 3828 4176 4197 5104 5596 5742 7656 8394 11192 11484 12591 15312 15389 16788 22384 22968 25182 30778 33576 40571 45936 46167 50364 61556 67152 81142 92334 100728 121713 123112 138501 162284 184668 201456 243426 246224 277002 324568 365139 369336 446281 486852 554004 649136 730278 738672 892562 973704 1108008 1338843 1460556 1785124 1947408 2216016 2677686 2921112 3570248 4016529 5355372 5842224 7140496 8033058 10710744 16066116 21421488 32132232 64264464