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642956820 = 223511974177
BaseRepresentation
bin100110010100101…
…011111000010100
31122210211120221120
4212110223320110
52304044104240
6143444443540
721635020452
oct4624537024
91583746846
10642956820
112aaa28a80
1215b3a95b0
13a328922c
14615699d2
153b6a5ad0
hex2652be14

642956820 has 48 divisors (see below), whose sum is σ = 1963942848. Its totient is φ = 155868160.

The previous prime is 642956801. The next prime is 642956863. The reversal of 642956820 is 28659246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486429 + ... + 487748.

It is an arithmetic number, because the mean of its divisors is an integer number (40915476).

Almost surely, 2642956820 is an apocalyptic number.

642956820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642956820 is an abundant number, since it is smaller than the sum of its proper divisors (1320986028).

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

642956820 is a wasteful number, since it uses less digits than its factorization.

642956820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974200 (or 974198 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 642956820 is about 25356.5932254315. The cubic root of 642956820 is about 863.0989781778.

The spelling of 642956820 in words is "six hundred forty-two million, nine hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 974177 1948354 2922531 3896708 4870885 5845062 9741770 10715947 11690124 14612655 19483540 21431894 29225310 32147841 42863788 53579735 58450620 64295682 107159470 128591364 160739205 214318940 321478410 642956820