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45466564 = 221113101787
BaseRepresentation
bin1010110101110…
…0001111000100
310011112221101211
42231130033010
543114412224
64302301204
71061313403
oct255341704
9104487354
1045466564
1123734780
1213287804
13955bac0
14607763a
153ed1894
hex2b5c3c4

45466564 has 48 divisors (see below), whose sum is σ = 94522176. Its totient is φ = 18864000.

The previous prime is 45466559. The next prime is 45466573. The reversal of 45466564 is 46566454.

45466564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 57379 + ... + 58165.

It is an arithmetic number, because the mean of its divisors is an integer number (1969212).

Almost surely, 245466564 is an apocalyptic number.

45466564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45466564 is an abundant number, since it is smaller than the sum of its proper divisors (49055612).

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

45466564 is a wasteful number, since it uses less digits than its factorization.

45466564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 45466564 is about 6742.8898849084. The cubic root of 45466564 is about 356.9143792137.

The spelling of 45466564 in words is "forty-five million, four hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 101 143 202 286 404 572 787 1111 1313 1574 2222 2626 3148 4444 5252 8657 10231 14443 17314 20462 28886 34628 40924 57772 79487 112541 158974 225082 317948 450164 874357 1033331 1748714 2066662 3497428 4133324 11366641 22733282 45466564