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45475040 = 2551321863
BaseRepresentation
bin1010110101111…
…0010011100000
310011120101000202
42231132103200
543120200130
64302404332
71061350202
oct255362340
9104511022
1045475040
1123740086
12132906a8
139562910
14607a772
153ed4145
hex2b5e4e0

45475040 has 48 divisors (see below), whose sum is σ = 115704288. Its totient is φ = 16790016.

The previous prime is 45475039. The next prime is 45475043. The reversal of 45475040 is 4057454.

45475040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45474994 and 45475012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45475043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8852 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (2410506).

Almost surely, 245475040 is an apocalyptic number.

45475040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45475040 is an abundant number, since it is smaller than the sum of its proper divisors (70229248).

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

45475040 is a wasteful number, since it uses less digits than its factorization.

45475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21891 (or 21883 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 45475040 is about 6743.5183695160. The cubic root of 45475040 is about 356.9365568173.

The spelling of 45475040 in words is "forty-five million, four hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 21863 43726 87452 109315 174904 218630 284219 349808 437260 568438 699616 874520 1136876 1421095 1749040 2273752 2842190 3498080 4547504 5684380 9095008 11368760 22737520 45475040