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642926736 = 243221132
BaseRepresentation
bin100110010100100…
…100100010010000
31122210210001200100
4212110210202100
52304042123421
6143444052400
721634533654
oct4624444220
91583701610
10642926736
112aaa08411
1215b394100
13a327862a
146155ca64
153b69bc26
hex26524890

642926736 has 45 divisors (see below), whose sum is σ = 1800153849. Its totient is φ = 214207488.

The previous prime is 642926671. The next prime is 642926741. The reversal of 642926736 is 637629246.

The square root of 642926736 is 25356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 642318336 = 780^2 + 25344^2 .

It is a super-2 number, since 2×6429267362 = 826709575727227392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642926691 and 642926700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 303216 + ... + 305328.

Almost surely, 2642926736 is an apocalyptic number.

642926736 is the 25356-th square number.

It is an amenable number.

642926736 is an abundant number, since it is smaller than the sum of its proper divisors (1157227113).

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

642926736 is an equidigital number, since it uses as much as digits as its factorization.

642926736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 2118 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The cubic root of 642926736 is about 863.0855164782.

The spelling of 642926736 in words is "six hundred forty-two million, nine hundred twenty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2113 4226 6339 8452 12678 16904 19017 25356 33808 38034 50712 76068 101424 152136 304272 4464769 8929538 13394307 17859076 26788614 35718152 40182921 53577228 71436304 80365842 107154456 160731684 214308912 321463368 642926736