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639121936 = 241710921557
BaseRepresentation
bin100110000110000…
…011101000010000
31122112121202110211
4212012003220100
52302103400221
6143230333504
721560306155
oct4606035020
91575552424
10639121936
112a8849852
1215a05a294
13a254587b
1460c4c22c
153b1996e1
hex26183a10

639121936 has 40 divisors (see below), whose sum is σ = 1323230040. Its totient is φ = 297990144.

The previous prime is 639121921. The next prime is 639121937.

639121936 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 100881936 + 538240000 = 10044^2 + 23200^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (639121937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18870 + ... + 40426.

It is an arithmetic number, because the mean of its divisors is an integer number (33080751).

Almost surely, 2639121936 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 639121936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661615020).

639121936 is an abundant number, since it is smaller than the sum of its proper divisors (684108104).

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

639121936 is a wasteful number, since it uses less digits than its factorization.

639121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21691 (or 21685 counting only the distinct ones).

The product of its digits is 52488, while the sum is 40.

The square root of 639121936 is about 25280.8610612851. The cubic root of 639121936 is about 861.3795849007.

The spelling of 639121936 in words is "six hundred thirty-nine million, one hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 3706 7412 14824 21557 29648 43114 86228 172456 344912 366469 732938 1465876 2349713 2931752 4699426 5863504 9398852 18797704 37595408 39945121 79890242 159780484 319560968 639121936