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638475642 = 23374313919
BaseRepresentation
bin100110000011100…
…101110101111010
31122111101220221000
4212003211311322
52301422210032
6143204425430
721551645010
oct4603456572
91574356830
10638475642
112a8448222
121599a8276
13a237a64c
1460b208b0
153b0bce7c
hex260e5d7a

638475642 has 64 divisors (see below), whose sum is σ = 1625702400. Its totient is φ = 181951920.

The previous prime is 638475619. The next prime is 638475671. The reversal of 638475642 is 246574836.

638475642 is a `hidden beast` number, since 6 + 3 + 84 + 7 + 564 + 2 = 666.

It is a super-2 number, since 2×6384756422 = 815302290854624328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160959 + ... + 164877.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2638475642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638475642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

638475642 is an abundant number, since it is smaller than the sum of its proper divisors (987226758).

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

638475642 is a wasteful number, since it uses less digits than its factorization.

638475642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4362 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 638475642 is about 25268.0755499900. The cubic root of 638475642 is about 861.0891383875.

The spelling of 638475642 in words is "six hundred thirty-eight million, four hundred seventy-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 431 862 1293 2586 3017 3879 3919 6034 7758 7838 9051 11637 11757 18102 23274 23514 27153 27433 35271 54306 54866 70542 81459 82299 105813 162918 164598 211626 246897 493794 740691 1481382 1689089 3378178 5067267 10134534 11823623 15201801 23647246 30403602 35470869 45605403 70941738 91210806 106412607 212825214 319237821 638475642