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45118528 = 2671361127
BaseRepresentation
bin1010110000011…
…1010001000000
310010220020222121
42230013101000
543022243103
64251014024
71055333620
oct254072100
9103806877
1045118528
1123517244
121313a314
139469570
145dc6880
153e636bd
hex2b07440

45118528 has 112 divisors (see below), whose sum is σ = 112881664. Its totient is φ = 17418240.

The previous prime is 45118523. The next prime is 45118553. The reversal of 45118528 is 82581154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 45118528 = 83 + 3563 = 1643 + 3443.

It is a junction number, because it is equal to n+sod(n) for n = 45118493 and 45118502.

It is not an unprimeable number, because it can be changed into a prime (45118523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355201 + ... + 355327.

It is an arithmetic number, because the mean of its divisors is an integer number (1007872).

Almost surely, 245118528 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 45118528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56440832).

45118528 is an abundant number, since it is smaller than the sum of its proper divisors (67763136).

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

45118528 is a wasteful number, since it uses less digits than its factorization.

45118528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 12800, while the sum is 34.

The square root of 45118528 is about 6717.0326781995. The cubic root of 45118528 is about 356.0013466262.

The spelling of 45118528 in words is "forty-five million, one hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 127 182 208 224 244 254 364 416 427 448 488 508 728 793 832 854 889 976 1016 1456 1586 1651 1708 1778 1952 2032 2912 3172 3302 3416 3556 3904 4064 5551 5824 6344 6604 6832 7112 7747 8128 11102 11557 12688 13208 13664 14224 15494 22204 23114 25376 26416 27328 28448 30988 44408 46228 50752 52832 54229 56896 61976 88816 92456 100711 105664 108458 123952 177632 184912 201422 216916 247904 355264 369824 402844 433832 495808 704977 739648 805688 867664 1409954 1611376 1735328 2819908 3222752 3470656 5639816 6445504 11279632 22559264 45118528