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45232264 = 2371197757
BaseRepresentation
bin1010110010001…
…1000010001000
310011010001000001
42230203002020
543034413024
64253252344
71056316330
oct254430210
9104101001
1045232264
1123594740
12131940b4
1394a926c
1460160c0
153e87244
hex2b23088

45232264 has 64 divisors (see below), whose sum is σ = 106968960. Its totient is φ = 17418240.

The previous prime is 45232211. The next prime is 45232273. The reversal of 45232264 is 46223254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59374 + ... + 60130.

It is an arithmetic number, because the mean of its divisors is an integer number (1671390).

Almost surely, 245232264 is an apocalyptic number.

45232264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45232264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53484480).

45232264 is an abundant number, since it is smaller than the sum of its proper divisors (61736696).

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

45232264 is a wasteful number, since it uses less digits than its factorization.

45232264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 45232264 is about 6725.4935878343. The cubic root of 45232264 is about 356.3002348777.

The spelling of 45232264 in words is "forty-five million, two hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 154 194 308 388 616 679 757 776 1067 1358 1514 2134 2716 3028 4268 5299 5432 6056 7469 8327 8536 10598 14938 16654 21196 29876 33308 42392 58289 59752 66616 73429 116578 146858 233156 293716 466312 514003 587432 807719 1028006 1615438 2056012 3230876 4112024 5654033 6461752 11308066 22616132 45232264