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638213632 = 297225439
BaseRepresentation
bin100110000010100…
…101111000000000
31122110220121111221
4212002211320000
52301340314012
6143155044424
721546504100
oct4602457000
91573817457
10638213632
112a8289391
121598a0714
13a22b8304
1460a93200
153b06a507
hex260a5e00

638213632 has 60 divisors (see below), whose sum is σ = 1483431840. Its totient is φ = 273509376.

The previous prime is 638213603. The next prime is 638213789. The reversal of 638213632 is 236312836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12369 + ... + 37807.

It is an arithmetic number, because the mean of its divisors is an integer number (24723864).

Almost surely, 2638213632 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 638213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741715920).

638213632 is an abundant number, since it is smaller than the sum of its proper divisors (845218208).

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

638213632 is an equidigital number, since it uses as much as digits as its factorization.

638213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25471 (or 25448 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 638213632 is about 25262.8904126191. The cubic root of 638213632 is about 860.9713344501.

The spelling of 638213632 in words is "six hundred thirty-eight million, two hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 25088 25439 50878 101756 178073 203512 356146 407024 712292 814048 1246511 1424584 1628096 2493022 2849168 3256192 4986044 5698336 6512384 9972088 11396672 13024768 19944176 22793344 39888352 45586688 79776704 91173376 159553408 319106816 638213632