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138844832 = 2572731213
BaseRepresentation
bin10000100011010…
…01101010100000
3100200021001022012
420101221222200
5241021013312
621435532052
73304106300
oct1021515240
9320231265
10138844832
11714131a5
123a5ba028
13229c4609
1414623600
15c2c9322
hex8469aa0

138844832 has 72 divisors (see below), whose sum is σ = 322601076. Its totient is φ = 58641408.

The previous prime is 138844829. The next prime is 138844841. The reversal of 138844832 is 238448831.

It can be written as a sum of positive squares in 2 ways, for example, as 129868816 + 8976016 = 11396^2 + 2996^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138844832.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113858 + ... + 115070.

Almost surely, 2138844832 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 138844832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300538).

138844832 is an abundant number, since it is smaller than the sum of its proper divisors (183756244).

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

138844832 is a wasteful number, since it uses less digits than its factorization.

138844832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1295 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 138844832 is about 11783.2436960287. The cubic root of 138844832 is about 517.8173205358.

The spelling of 138844832 in words is "one hundred thirty-eight million, eight hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 392 511 584 784 1022 1168 1213 1568 2044 2336 2426 3577 4088 4852 7154 8176 8491 9704 14308 16352 16982 19408 28616 33964 38816 57232 59437 67928 88549 114464 118874 135856 177098 237748 271712 354196 475496 619843 708392 950992 1239686 1416784 1901984 2479372 2833568 4338901 4958744 8677802 9917488 17355604 19834976 34711208 69422416 138844832