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638940864 = 26337531697
BaseRepresentation
bin100110000101010…
…111011011000000
31122112021120002110
4212011113123000
52302032101424
6143222415320
721555623232
oct4605273300
91575246073
10638940864
112a8735801
12159b91540
13a24b1323
1460c02252
153b160c29
hex261576c0

638940864 has 112 divisors (see below), whose sum is σ = 1770022368. Its totient is φ = 203194368.

The previous prime is 638940853. The next prime is 638940871. The reversal of 638940864 is 468049836.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 375664 + ... + 377360.

Almost surely, 2638940864 is an apocalyptic number.

638940864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885011184).

638940864 is an abundant number, since it is smaller than the sum of its proper divisors (1131081504).

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

638940864 is a wasteful number, since it uses less digits than its factorization.

638940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 638940864 is about 25277.2796004633. The cubic root of 638940864 is about 861.2982303384.

The spelling of 638940864 in words is "six hundred thirty-eight million, nine hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 148 159 192 212 222 296 318 424 444 592 636 848 888 1184 1272 1696 1697 1776 1961 2368 2544 3392 3394 3552 3922 5088 5091 5883 6788 7104 7844 10176 10182 11766 13576 15688 20364 23532 27152 31376 40728 47064 54304 62752 62789 81456 89941 94128 108608 125504 125578 162912 179882 188256 188367 251156 269823 325824 359764 376512 376734 502312 539646 719528 753468 1004624 1079292 1439056 1506936 2009248 2158584 2878112 3013872 3327817 4018496 4317168 5756224 6027744 6655634 8634336 9983451 12055488 13311268 17268672 19966902 26622536 39933804 53245072 79867608 106490144 159735216 212980288 319470432 638940864