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45420165 = 3257197589
BaseRepresentation
bin1010110101000…
…0111010000101
310011110120202100
42231100322011
543111421130
64301302313
71061031210
oct255207205
9104416670
1045420165
112370292a
1213264999
13954394b
146064777
153ec2c60
hex2b50e85

45420165 has 48 divisors (see below), whose sum is σ = 94723200. Its totient is φ = 19668096.

The previous prime is 45420163. The next prime is 45420187. The reversal of 45420165 is 56102454.

45420165 is a `hidden beast` number, since 454 + 201 + 6 + 5 = 666.

It is not a de Polignac number, because 45420165 - 21 = 45420163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45420161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (1973400).

Almost surely, 245420165 is an apocalyptic number.

45420165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45420165 is an abundant number, since it is smaller than the sum of its proper divisors (49303035).

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

45420165 is a wasteful number, since it uses less digits than its factorization.

45420165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45420165 is about 6739.4484195667. The cubic root of 45420165 is about 356.7929265432.

The spelling of 45420165 in words is "forty-five million, four hundred twenty thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 7589 22767 37945 53123 68301 113835 144191 159369 265615 341505 432573 478107 720955 796845 1009337 1297719 2162865 2390535 3028011 5046685 6488595 9084033 15140055 45420165