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138827264 = 292311789
BaseRepresentation
bin10000100011001…
…01011000000000
3100200020011012112
420101211120000
5241014433024
621435314452
73304004132
oct1021453000
9320204175
10138827264
1171400a84
123a5aba28
13229b9614
141461b052
15c2c400e
hex8465600

138827264 has 40 divisors (see below), whose sum is σ = 289468080. Its totient is φ = 66390016.

The previous prime is 138827191. The next prime is 138827291. The reversal of 138827264 is 462728831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5882 + ... + 17670.

It is an arithmetic number, because the mean of its divisors is an integer number (7236702).

Almost surely, 2138827264 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 138827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144734040).

138827264 is an abundant number, since it is smaller than the sum of its proper divisors (150640816).

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

138827264 is an equidigital number, since it uses as much as digits as its factorization.

138827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830 (or 11814 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 138827264 is about 11782.4982070866. The cubic root of 138827264 is about 517.7954798516.

The spelling of 138827264 in words is "one hundred thirty-eight million, eight hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 11789 23578 47156 94312 188624 271147 377248 542294 754496 1084588 1508992 2169176 3017984 4338352 6035968 8676704 17353408 34706816 69413632 138827264