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138498464 = 25135772
BaseRepresentation
bin10000100000101…
…01000110100000
3100122121110011202
420100111012200
5240423422324
621424300332
73301134416
oct1020250640
9318543152
10138498464
11711a6a45
123a4716a8
1322902a70
14145732b6
15c25b8ae
hex84151a0

138498464 has 36 divisors (see below), whose sum is σ = 294153174. Its totient is φ = 63811584.

The previous prime is 138498427. The next prime is 138498497. The reversal of 138498464 is 464894831.

It can be written as a sum of positive squares in 3 ways, for example, as 136702864 + 1795600 = 11692^2 + 1340^2 .

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, 239744 + ... + 240320.

Almost surely, 2138498464 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 138498464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147076587).

138498464 is an abundant number, since it is smaller than the sum of its proper divisors (155654710).

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

138498464 is an frugal number, since it uses more digits than its factorization.

138498464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 592 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 138498464 is about 11768.5370373721. The cubic root of 138498464 is about 517.3863725571.

The spelling of 138498464 in words is "one hundred thirty-eight million, four hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 577 1154 2308 4616 7501 9232 15002 18464 30004 60008 120016 240032 332929 665858 1331716 2663432 4328077 5326864 8656154 10653728 17312308 34624616 69249232 138498464