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45051360 = 2535175521
BaseRepresentation
bin1010101111011…
…0110111100000
310010202211211220
42223312313200
543013120420
64245335040
71054634034
oct253666740
9103684756
1045051360
1123480832
1213107480
139444b13
145daa1c4
153e4d840
hex2af6de0

45051360 has 96 divisors (see below), whose sum is σ = 150286752. Its totient is φ = 11304960.

The previous prime is 45051323. The next prime is 45051379. The reversal of 45051360 is 6315054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45051360.

It is a congruent number.

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, 5400 + ... + 10920.

It is an arithmetic number, because the mean of its divisors is an integer number (1565487).

Almost surely, 245051360 is an apocalyptic number.

45051360 is a gapful number since it is divisible by the number (40) 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 45051360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75143376).

45051360 is an abundant number, since it is smaller than the sum of its proper divisors (105235392).

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

45051360 is a wasteful number, since it uses less digits than its factorization.

45051360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 45051360 is about 6712.0309892014. The cubic root of 45051360 is about 355.8245990296.

The spelling of 45051360 in words is "forty-five million, fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 5521 8160 11042 16563 22084 27605 33126 44168 55210 66252 82815 88336 93857 110420 132504 165630 176672 187714 220840 265008 281571 331260 375428 441680 469285 530016 563142 662520 750856 883360 938570 1126284 1325040 1407855 1501712 1877140 2252568 2650080 2815710 3003424 3754280 4505136 5631420 7508560 9010272 11262840 15017120 22525680 45051360