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45132961 = 1929101811
BaseRepresentation
bin1010110000101…
…0110010100001
310010220222210011
42230022302201
543023223321
64251204521
71055423656
oct254126241
9103828704
1045132961
1123527075
1213146741
139472cc3
145dcbc2d
153e67ae1
hex2b0aca1

45132961 has 16 divisors (see below), whose sum is σ = 49694400. Its totient is φ = 40824000.

The previous prime is 45132959. The next prime is 45133003. The reversal of 45132961 is 16923154.

It is a cyclic number.

It is not a de Polignac number, because 45132961 - 21 = 45132959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45132911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55246 + ... + 56056.

It is an arithmetic number, because the mean of its divisors is an integer number (3105900).

Almost surely, 245132961 is an apocalyptic number.

It is an amenable number.

45132961 is a deficient number, since it is larger than the sum of its proper divisors (4561439).

45132961 is a wasteful number, since it uses less digits than its factorization.

45132961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its digits is 6480, while the sum is 31.

The square root of 45132961 is about 6718.1069506223. The cubic root of 45132961 is about 356.0393030924.

The spelling of 45132961 in words is "forty-five million, one hundred thirty-two thousand, nine hundred sixty-one".

Divisors: 1 19 29 101 551 811 1919 2929 15409 23519 55651 81911 446861 1556309 2375419 45132961