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45931140 = 22325255173
BaseRepresentation
bin1010111100110…
…1101010000100
310012102112200100
42233031222010
543224244030
64320244100
71065260013
oct257155204
9105375610
1045931140
1123a21822
1213470630
1396923b8
146158a7a
154074360
hex2bcda84

45931140 has 36 divisors (see below), whose sum is σ = 139325004. Its totient is φ = 12248256.

The previous prime is 45931129. The next prime is 45931219. The reversal of 45931140 is 4113954.

45931140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 27060804 = 4344^2 + 5202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 127407 + ... + 127766.

It is an arithmetic number, because the mean of its divisors is an integer number (3870139).

Almost surely, 245931140 is an apocalyptic number.

It is an amenable number.

45931140 is an abundant number, since it is smaller than the sum of its proper divisors (93393864).

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

45931140 is a wasteful number, since it uses less digits than its factorization.

45931140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255188 (or 255183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45931140 is about 6777.2516553541. The cubic root of 45931140 is about 358.1259089183.

The spelling of 45931140 in words is "forty-five million, nine hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 255173 510346 765519 1020692 1275865 1531038 2296557 2551730 3062076 3827595 4593114 5103460 7655190 9186228 11482785 15310380 22965570 45931140