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45731664 = 24321128871
BaseRepresentation
bin1010111001110…
…0111101010000
310012001102001100
42232130331100
543201403124
64312104400
71063466316
oct256347520
9105042040
1045731664
11238a5970
1213395100
139622674
1461060b6
1540351c9
hex2b9cf50

45731664 has 60 divisors (see below), whose sum is σ = 139624992. Its totient is φ = 13857600.

The previous prime is 45731663. The next prime is 45731669. The reversal of 45731664 is 46613754.

It is a happy number.

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 (45731663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12852 + ... + 16019.

Almost surely, 245731664 is an apocalyptic number.

45731664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45731664 is an abundant number, since it is smaller than the sum of its proper divisors (93893328).

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

45731664 is a wasteful number, since it uses less digits than its factorization.

45731664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28896 (or 28887 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45731664 is about 6762.5190572744. The cubic root of 45731664 is about 357.6067172890.

The spelling of 45731664 in words is "forty-five million, seven hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 28871 57742 86613 115484 173226 230968 259839 317581 346452 461936 519678 635162 692904 952743 1039356 1270324 1385808 1905486 2078712 2540648 2858229 3810972 4157424 5081296 5716458 7621944 11432916 15243888 22865832 45731664