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45667368 = 23331131871
BaseRepresentation
bin1010111000110…
…1010000101000
310011221010212000
42232031100220
543142323433
64310451000
71063111005
oct256152050
9104833760
1045667368
112386162a
1213363a60
1395cc316
1460ca8ac
154021113
hex2b8d428

45667368 has 64 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 15079680.

The previous prime is 45667367. The next prime is 45667379. The reversal of 45667368 is 86376654.

It is not an unprimeable number, because it can be changed into a prime (45667367) 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, 23473 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 245667368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45667368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

45667368 is an abundant number, since it is smaller than the sum of its proper divisors (82377432).

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

45667368 is a wasteful number, since it uses less digits than its factorization.

45667368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1989 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 45667368 is about 6757.7635353717. The cubic root of 45667368 is about 357.4390474270.

The spelling of 45667368 in words is "forty-five million, six hundred sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 1871 2034 2712 3051 3742 4068 5613 6102 7484 8136 11226 12204 14968 16839 22452 24408 33678 44904 50517 67356 101034 134712 202068 211423 404136 422846 634269 845692 1268538 1691384 1902807 2537076 3805614 5074152 5708421 7611228 11416842 15222456 22833684 45667368