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64083672 = 23326114591
BaseRepresentation
bin1111010001110…
…1011011011000
311110120210021100
43310131123120
5112401134142
610205311400
71405462602
oct364353330
9143523240
1064083672
11331a0014
1219565560
1310379943
148722172
15595cb4c
hex3d1d6d8

64083672 has 48 divisors (see below), whose sum is σ = 176417280. Its totient is φ = 21009600.

The previous prime is 64083653. The next prime is 64083703. The reversal of 64083672 is 27638046.

64083672 is a `hidden beast` number, since 640 + 8 + 3 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2904 + ... + 11687.

It is an arithmetic number, because the mean of its divisors is an integer number (3675360).

Almost surely, 264083672 is an apocalyptic number.

It is an amenable number.

64083672 is an abundant number, since it is smaller than the sum of its proper divisors (112333608).

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

64083672 is a wasteful number, since it uses less digits than its factorization.

64083672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64083672 is about 8005.2277918870. The cubic root of 64083672 is about 400.1742407560.

The spelling of 64083672 in words is "sixty-four million, eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 14591 29182 43773 58364 87546 116728 131319 175092 262638 350184 525276 890051 1050552 1780102 2670153 3560204 5340306 7120408 8010459 10680612 16020918 21361224 32041836 64083672