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642623488 = 2111324137
BaseRepresentation
bin100110010011011…
…010100000000000
31122210012122200221
4212103122200000
52304002422423
6143433352424
721632131603
oct4623324000
91583178627
10642623488
112aa8205a1
1215b268714
13a31a05b0
14614c033a
153b63be5d
hex264da800

642623488 has 48 divisors (see below), whose sum is σ = 1383831540. Its totient is φ = 296583168.

The previous prime is 642623483. The next prime is 642623497. The reversal of 642623488 is 884326246.

It can be written as a sum of positive squares in 2 ways, for example, as 637461504 + 5161984 = 25248^2 + 2272^2 .

It is a super-2 number, since 2×6426234882 = 825929894658572288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (642623483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14556 + ... + 38692.

Almost surely, 2642623488 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 642623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691915770).

642623488 is an abundant number, since it is smaller than the sum of its proper divisors (741208052).

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

642623488 is a wasteful number, since it uses less digits than its factorization.

642623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24172 (or 24152 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The square root of 642623488 is about 25350.0194871720. The cubic root of 642623488 is about 862.9497985171.

The spelling of 642623488 in words is "six hundred forty-two million, six hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 24137 26624 48274 96548 193096 313781 386192 627562 772384 1255124 1544768 2510248 3089536 5020496 6179072 10040992 12358144 20081984 24716288 40163968 49432576 80327936 160655872 321311744 642623488