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643516944 = 24371915229
BaseRepresentation
bin100110010110110…
…100101000010000
31122211220001021220
4212112310220100
52304220020234
6143504445040
721642542460
oct4626645020
91584801256
10643516944
11300280894
1215b619780
13a3424175
1461673ba0
153b766a49
hex265b4a10

643516944 has 40 divisors (see below), whose sum is σ = 1899908160. Its totient is φ = 183861888.

The previous prime is 643516943. The next prime is 643516957. The reversal of 643516944 is 449615346.

It is a happy number.

It is a super-2 number, since 2×6435169442 = 828228114430198272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 643516896 and 643516905.

It is not an unprimeable number, because it can be changed into a prime (643516943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957279 + ... + 957950.

It is an arithmetic number, because the mean of its divisors is an integer number (47497704).

Almost surely, 2643516944 is an apocalyptic number.

It is an amenable number.

643516944 is an abundant number, since it is smaller than the sum of its proper divisors (1256391216).

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

643516944 is a wasteful number, since it uses less digits than its factorization.

643516944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915247 (or 1915241 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 643516944 is about 25367.6357589745. The cubic root of 643516944 is about 863.3495404334.

The spelling of 643516944 in words is "six hundred forty-three million, five hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1915229 3830458 5745687 7660916 11491374 13406603 15321832 22982748 26813206 30643664 40219809 45965496 53626412 80439618 91930992 107252824 160879236 214505648 321758472 643516944