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642820608 = 2932139501
BaseRepresentation
bin100110010100001…
…010101000000000
31122210120200002200
4212110022220000
52304030224413
6143441513200
721633612363
oct4624125000
91583520080
10642820608
112aa945701
1215b342800
13a323c231
14615320da
153b67a573
hex2650aa00

642820608 has 60 divisors (see below), whose sum is σ = 1855237098. Its totient is φ = 214272000.

The previous prime is 642820571. The next prime is 642820613. The reversal of 642820608 is 806028246.

642820608 is a `hidden beast` number, since 6 + 4 + 28 + 20 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408363264 + 234457344 = 20208^2 + 15312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 65143 + ... + 74358.

Almost surely, 2642820608 is an apocalyptic number.

It is an amenable number.

642820608 is an abundant number, since it is smaller than the sum of its proper divisors (1212416490).

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

642820608 is a wasteful number, since it uses less digits than its factorization.

642820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139525 (or 139506 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 642820608 is about 25353.9071545196. The cubic root of 642820608 is about 863.0380239854.

The spelling of 642820608 in words is "six hundred forty-two million, eight hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 139501 279002 418503 558004 837006 1116008 1255509 1674012 2232016 2511018 3348024 4464032 5022036 6696048 8928064 10044072 13392096 17856128 20088144 26784192 35712256 40176288 53568384 71424512 80352576 107136768 160705152 214273536 321410304 642820608