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64364832 = 2532724561
BaseRepresentation
bin1111010110001…
…0000100100000
311111010001221200
43311202010200
5112434133312
610215321200
71411043400
oct365420440
9144101850
1064364832
1133372284
1219680200
13104478cc
148796800
1559b60dc
hex3d62120

64364832 has 108 divisors (see below), whose sum is σ = 212967846. Its totient is φ = 18385920.

The previous prime is 64364809. The next prime is 64364857. The reversal of 64364832 is 23846346.

It is a happy number.

64364832 is a `hidden beast` number, since 6 + 4 + 3 + 648 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 5934096 = 7644^2 + 2436^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11832 + ... + 16392.

Almost surely, 264364832 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 64364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106483923).

64364832 is an abundant number, since it is smaller than the sum of its proper divisors (148603014).

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

64364832 is a wasteful number, since it uses less digits than its factorization.

64364832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4573 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64364832 is about 8022.7695965919. The cubic root of 64364832 is about 400.7586269699.

The spelling of 64364832 in words is "sixty-four million, three hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4561 4704 7056 9122 13683 14112 18244 27366 31927 36488 41049 54732 63854 72976 82098 95781 109464 127708 145952 164196 191562 218928 223489 255416 287343 328392 383124 437856 446978 510832 574686 656784 670467 766248 893956 1021664 1149372 1313568 1340934 1532496 1787912 2011401 2298744 2681868 3064992 3575824 4022802 4597488 5363736 7151648 8045604 9194976 10727472 16091208 21454944 32182416 64364832