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638428896 = 25327316681
BaseRepresentation
bin100110000011011…
…010011011100000
31122111022112210200
4212003122123200
52301414211041
6143203425200
721551361510
oct4603323340
91574275720
10638428896
112a8416096
12159985200
13a23622a1
1460b0b840
153b0ae1b6
hex260da6e0

638428896 has 72 divisors (see below), whose sum is σ = 2074900464. Its totient is φ = 182407680.

The previous prime is 638428891. The next prime is 638428919. The reversal of 638428896 is 698824836.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638428891) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 156325 + ... + 160356.

It is an arithmetic number, because the mean of its divisors is an integer number (28818062).

Almost surely, 2638428896 is an apocalyptic number.

It is an amenable number.

638428896 is an abundant number, since it is smaller than the sum of its proper divisors (1436471568).

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

638428896 is a wasteful number, since it uses less digits than its factorization.

638428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316704 (or 316693 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 638428896 is about 25267.1505318665. The cubic root of 638428896 is about 861.0681229915.

The spelling of 638428896 in words is "six hundred thirty-eight million, four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 316681 633362 950043 1266724 1900086 2216767 2533448 2850129 3800172 4433534 5066896 5700258 6650301 7600344 8867068 10133792 11400516 13300602 15200688 17734136 19950903 22801032 26601204 30401376 35468272 39901806 45602064 53202408 70936544 79803612 91204128 106404816 159607224 212809632 319214448 638428896