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64138932 = 223311134153
BaseRepresentation
bin1111010010101…
…0111010110100
311110200121002000
43310222322310
5112404421212
610210415300
71406112654
oct364527264
9143617060
1064138932
1133228590
1219591530
1310398b40
148738364
15596e1dc
hex3d2aeb4

64138932 has 96 divisors (see below), whose sum is σ = 195404160. Its totient is φ = 17936640.

The previous prime is 64138891. The next prime is 64138933. The reversal of 64138932 is 23983146.

64138932 is a `hidden beast` number, since 641 + 3 + 8 + 9 + 3 + 2 = 666.

It is a super-2 number, since 2×641389322 = 8227605196201248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64138933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13368 + ... + 17520.

It is an arithmetic number, because the mean of its divisors is an integer number (2035460).

Almost surely, 264138932 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 64138932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97702080).

64138932 is an abundant number, since it is smaller than the sum of its proper divisors (131265228).

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

64138932 is a wasteful number, since it uses less digits than its factorization.

64138932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 64138932 is about 8008.6785426811. The cubic root of 64138932 is about 400.2892324777.

The spelling of 64138932 in words is "sixty-four million, one hundred thirty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 4153 5148 7722 8306 12459 15444 16612 24918 37377 45683 49836 53989 74754 91366 107978 112131 137049 149508 161967 182732 215956 224262 274098 323934 411147 448524 485901 548196 593879 647868 822294 971802 1187758 1233441 1457703 1644588 1781637 1943604 2375516 2466882 2915406 3563274 4933764 5344911 5830812 7126548 10689822 16034733 21379644 32069466 64138932