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138295808 = 29747821
BaseRepresentation
bin10000011111000…
…11101000000000
3100122020011011222
420033203220000
5240400431213
621420054212
73266331530
oct1017435000
9318204158
10138295808
1171078762
123a394368
1322861751
141451d4c0
15c21b808
hex83e3a00

138295808 has 80 divisors (see below), whose sum is σ = 322907904. Its totient is φ = 57937920.

The previous prime is 138295789. The next prime is 138295811. The reversal of 138295808 is 808592831.

138295808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168038 + ... + 168858.

Almost surely, 2138295808 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 138295808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161453952).

138295808 is an abundant number, since it is smaller than the sum of its proper divisors (184612096).

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

138295808 is an frugal number, since it uses more digits than its factorization.

With its successor (138295809) it forms an eRAP, since the sums of their prime factors are consecutive (893 and 894).

138295808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 138295808 is about 11759.9238092770. The cubic root of 138295808 is about 517.1338965076.

The spelling of 138295808 in words is "one hundred thirty-eight million, two hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 512 658 752 821 896 1316 1504 1642 1792 2632 3008 3284 3584 5264 5747 6016 6568 10528 11494 12032 13136 21056 22988 24064 26272 38587 42112 45976 52544 77174 84224 91952 105088 154348 168448 183904 210176 270109 308696 367808 420352 540218 617392 735616 1080436 1234784 1471232 2160872 2469568 2942464 4321744 4939136 8643488 9878272 17286976 19756544 34573952 69147904 138295808