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45126264 = 2334373599
BaseRepresentation
bin1010110000100…
…1001001111000
310010220122121010
42230021021320
543023020024
64251113520
71055365311
oct254111170
9103818533
1045126264
1123522037
12131428a0
13946cc41
145dc9608
153e65b29
hex2b09278

45126264 has 64 divisors (see below), whose sum is σ = 117216000. Its totient is φ = 14466816.

The previous prime is 45126247. The next prime is 45126271. The reversal of 45126264 is 46262154.

Its product of digits (11520) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is an unprimeable number.

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, 75037 + ... + 75635.

It is an arithmetic number, because the mean of its divisors is an integer number (1831500).

Almost surely, 245126264 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 45126264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58608000).

45126264 is an abundant number, since it is smaller than the sum of its proper divisors (72089736).

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

45126264 is a wasteful number, since it uses less digits than its factorization.

45126264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 45126264 is about 6717.6085030314. The cubic root of 45126264 is about 356.0216920671.

The spelling of 45126264 in words is "forty-five million, one hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 73 86 129 146 172 219 258 292 344 438 516 584 599 876 1032 1198 1752 1797 2396 3139 3594 4792 6278 7188 9417 12556 14376 18834 25112 25757 37668 43727 51514 75336 77271 87454 103028 131181 154542 174908 206056 262362 309084 349816 524724 618168 1049448 1880261 3760522 5640783 7521044 11281566 15042088 22563132 45126264