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45959960 = 2351148999
BaseRepresentation
bin1010111101010…
…0101100011000
310012111000012202
42233110230120
543231204320
64321025332
71065440024
oct257245430
9105430182
1045959960
1123a41442
1213485248
1396a2557
146165384
15407cb75
hex2bd4b18

45959960 has 16 divisors (see below), whose sum is σ = 103410000. Its totient is φ = 18383968.

The previous prime is 45959951. The next prime is 45959971. The reversal of 45959960 is 6995954.

45959960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459599602 = 4224635846403200, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 574460 + ... + 574539.

It is an arithmetic number, because the mean of its divisors is an integer number (6463125).

Almost surely, 245959960 is an apocalyptic number.

45959960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45959960 is an abundant number, since it is smaller than the sum of its proper divisors (57450040).

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

45959960 is a wasteful number, since it uses less digits than its factorization.

45959960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149010 (or 1149006 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 47.

The square root of 45959960 is about 6779.3775525486. The cubic root of 45959960 is about 358.2007966070.

The spelling of 45959960 in words is "forty-five million, nine hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1148999 2297998 4595996 5744995 9191992 11489990 22979980 45959960