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639085122 = 2321329412297
BaseRepresentation
bin100110000101111…
…010101001000010
31122112112212222100
4212011322221002
52302101210442
6143225451230
721560063634
oct4605725102
91575485870
10639085122
112a8824125
1215a040b16
13a2531ba0
1460c3ca54
153b18d84c
hex2617aa42

639085122 has 96 divisors (see below), whose sum is σ = 1580932080. Its totient is φ = 185149440.

The previous prime is 639085103. The next prime is 639085133. The reversal of 639085122 is 221580936.

639085122 is a `hidden beast` number, since 639 + 0 + 8 + 5 + 12 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57744801 + 581340321 = 7599^2 + 24111^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277078 + ... + 279374.

Almost surely, 2639085122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639085122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790466040).

639085122 is an abundant number, since it is smaller than the sum of its proper divisors (941846958).

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

639085122 is a wasteful number, since it uses less digits than its factorization.

639085122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 639085122 is about 25280.1329505998. The cubic root of 639085122 is about 861.3630458361.

The spelling of 639085122 in words is "six hundred thirty-nine million, eighty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 41 58 78 82 87 117 123 174 234 246 261 369 377 522 533 738 754 1066 1131 1189 1599 2262 2297 2378 3198 3393 3567 4594 4797 6786 6891 7134 9594 10701 13782 15457 20673 21402 29861 30914 41346 46371 59722 66613 89583 92742 94177 133226 139113 179166 188354 199839 268749 278226 282531 399678 537498 565062 599517 847593 865969 1199034 1224301 1695186 1731938 2448602 2597907 2731133 3672903 5195814 5462266 7345806 7793721 8193399 11018709 15587442 16386798 22037418 24580197 35504729 49160394 71009458 106514187 213028374 319542561 639085122