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642867652 = 227214922013
BaseRepresentation
bin100110010100010…
…110000111000100
31122210200001122001
4212110112013010
52304033231102
6143442515044
721634166500
oct4624260704
91583601561
10642867652
112aa977a89
1215b365a84
13a325777b
1461545300
153b689487
hex265161c4

642867652 has 36 divisors (see below), whose sum is σ = 1317537900. Its totient is φ = 273653184.

The previous prime is 642867647. The next prime is 642867671. The reversal of 642867652 is 256768246.

It can be written as a sum of positive squares in 2 ways, for example, as 245423556 + 397444096 = 15666^2 + 19936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18198 + ... + 40210.

It is an arithmetic number, because the mean of its divisors is an integer number (36598275).

Almost surely, 2642867652 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 642867652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658768950).

642867652 is an abundant number, since it is smaller than the sum of its proper divisors (674670248).

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

642867652 is a wasteful number, since it uses less digits than its factorization.

642867652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22180 (or 22171 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 642867652 is about 25354.8348841005. The cubic root of 642867652 is about 863.0590769147.

The spelling of 642867652 in words is "six hundred forty-two million, eight hundred sixty-seven thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 596 1043 2086 4172 7301 14602 22013 29204 44026 88052 154091 308182 616364 1078637 2157274 3279937 4314548 6559874 13119748 22959559 45919118 91838236 160716913 321433826 642867652