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44085160 = 2357791993
BaseRepresentation
bin1010100000101…
…0111110101000
310001221202110201
42220022332220
542241211120
64212521544
71043501110
oct250127650
9101852421
1044085160
1122980919
12129202b4
1391970c2
145bd8040
153d0c40a
hex2a0afa8

44085160 has 64 divisors (see below), whose sum is σ = 114854400. Its totient is φ = 14916096.

The previous prime is 44085157. The next prime is 44085169. The reversal of 44085160 is 6158044.

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

It is not an unprimeable number, because it can be changed into a prime (44085169) 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, 21124 + ... + 23116.

It is an arithmetic number, because the mean of its divisors is an integer number (1794600).

Almost surely, 244085160 is an apocalyptic number.

44085160 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 44085160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57427200).

44085160 is an abundant number, since it is smaller than the sum of its proper divisors (70769240).

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

44085160 is a wasteful number, since it uses less digits than its factorization.

44085160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 44085160 is about 6639.6656542329. The cubic root of 44085160 is about 353.2624477078.

The spelling of 44085160 in words is "forty-four million, eighty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 1993 2212 2765 3160 3986 4424 5530 7972 9965 11060 13951 15944 19930 22120 27902 39860 55804 69755 79720 111608 139510 157447 279020 314894 558040 629788 787235 1102129 1259576 1574470 2204258 3148940 4408516 5510645 6297880 8817032 11021290 22042580 44085160