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639513072 = 2432112172127
BaseRepresentation
bin100110000111100…
…011000111110000
31122120100122000100
4212013203013300
52302203404242
6143242552400
721563525412
oct4607430760
91576318010
10639513072
112a8a96700
1215a208700
13a2651903
1460d109b2
153b22554c
hex261e31f0

639513072 has 270 divisors, whose sum is σ = 2106226304. Its totient is φ = 180956160.

The previous prime is 639513053. The next prime is 639513097. The reversal of 639513072 is 270315936.

639513072 is a `hidden beast` number, since 639 + 5 + 13 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×6395130723 (a number of 27 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5035473 + ... + 5035599.

Almost surely, 2639513072 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 639513072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053113152).

639513072 is an abundant number, since it is smaller than the sum of its proper divisors (1466713232).

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

639513072 is a wasteful number, since it uses less digits than its factorization.

639513072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 639513072 is about 25288.5956905479. The cubic root of 639513072 is about 861.5552675260. Note that the first 3 decimals are identical.

The spelling of 639513072 in words is "six hundred thirty-nine million, five hundred thirteen thousand, seventy-two".