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639021312 = 283430817
BaseRepresentation
bin100110000101101…
…011000100000000
31122112102122110000
4212011223010000
52302042140222
6143224240000
721556406616
oct4605530400
91575378400
10639021312
112a8790196
1215a010000
13a250bb27
1460c236b6
153b1799ac
hex2616b100

639021312 has 90 divisors (see below), whose sum is σ = 1905507758. Its totient is φ = 213000192.

The previous prime is 639021301. The next prime is 639021343. The reversal of 639021312 is 213120936.

639021312 is a `hidden beast` number, since 639 + 0 + 2 + 13 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 383533056 + 255488256 = 19584^2 + 15984^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5328 + ... + 36144.

Almost surely, 2639021312 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 639021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952753879).

639021312 is an abundant number, since it is smaller than the sum of its proper divisors (1266486446).

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

639021312 is an equidigital number, since it uses as much as digits as its factorization.

639021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30845 (or 30822 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 639021312 is about 25278.8708608593. The cubic root of 639021312 is about 861.3343770389.

The spelling of 639021312 in words is "six hundred thirty-nine million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 30817 61634 92451 123268 184902 246536 277353 369804 493072 554706 739608 832059 986144 1109412 1479216 1664118 1972288 2218824 2496177 2958432 3328236 3944576 4437648 4992354 5916864 6656472 7889152 8875296 9984708 11833728 13312944 17750592 19969416 23667456 26625888 35501184 39938832 53251776 71002368 79877664 106503552 159755328 213007104 319510656 639021312