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45438264 = 23324091543
BaseRepresentation
bin1010110101010…
…1010100111000
310011111111120200
42231111110320
543113011024
64301522200
71061135034
oct255252470
9104444520
1045438264
1123715493
1213273360
13954bc61
14606b1c4
153ec82c9
hex2b55538

45438264 has 48 divisors (see below), whose sum is σ = 123442800. Its totient is φ = 15099264.

The previous prime is 45438241. The next prime is 45438269. The reversal of 45438264 is 46283454.

45438264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45438269) by changing a digit.

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, 28677 + ... + 30219.

It is an arithmetic number, because the mean of its divisors is an integer number (2571725).

Almost surely, 245438264 is an apocalyptic number.

It is an amenable number.

45438264 is an abundant number, since it is smaller than the sum of its proper divisors (78004536).

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

45438264 is a wasteful number, since it uses less digits than its factorization.

45438264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1957 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45438264 is about 6740.7910515013. The cubic root of 45438264 is about 356.8403117933.

The spelling of 45438264 in words is "forty-five million, four hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 818 1227 1543 1636 2454 3086 3272 3681 4629 4908 6172 7362 9258 9816 12344 13887 14724 18516 27774 29448 37032 55548 111096 631087 1262174 1893261 2524348 3786522 5048696 5679783 7573044 11359566 15146088 22719132 45438264