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645540516 = 22341992409
BaseRepresentation
bin100110011110100…
…010101010100100
31122222200212010000
4212132202222210
52310224244031
6144020101300
721666001215
oct4636425244
91588625100
10645540516
11301433165
12160234830
13a398224a
1461a3d40c
153ba163e6
hex267a2aa4

645540516 has 30 divisors (see below), whose sum is σ = 1687571270. Its totient is φ = 215180064.

The previous prime is 645540481. The next prime is 645540587. The reversal of 645540516 is 615045546.

645540516 is a `hidden beast` number, since 64 + 5 + 540 + 51 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359254116 + 286286400 = 18954^2 + 16920^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 995881 + ... + 996528.

Almost surely, 2645540516 is an apocalyptic number.

It is an amenable number.

645540516 is an abundant number, since it is smaller than the sum of its proper divisors (1042030754).

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

645540516 is a wasteful number, since it uses less digits than its factorization.

645540516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992425 (or 1992414 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 645540516 is about 25407.4893682945. The cubic root of 645540516 is about 864.2535424883.

It can be divided in two parts, 6455 and 40516, that added together give a triangular number (46971 = T306).

The spelling of 645540516 in words is "six hundred forty-five million, five hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1992409 3984818 5977227 7969636 11954454 17931681 23908908 35863362 53795043 71726724 107590086 161385129 215180172 322770258 645540516