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44130072 = 2337347757
BaseRepresentation
bin1010100001010…
…1111100011000
310002001001002010
42220111330120
542244130242
64213505520
71044046050
oct250257430
9102031063
1044130072
1122a01638
12129422a0
1391b168c
145c0a560
153d1a89c
hex2a15f18

44130072 has 64 divisors (see below), whose sum is σ = 126616320. Its totient is φ = 12555648.

The previous prime is 44130071. The next prime is 44130089. The reversal of 44130072 is 27003144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44130071) 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, 57918 + ... + 58674.

It is an arithmetic number, because the mean of its divisors is an integer number (1978380).

Almost surely, 244130072 is an apocalyptic number.

44130072 is a gapful number since it is divisible by the number (42) 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 44130072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63308160).

44130072 is an abundant number, since it is smaller than the sum of its proper divisors (82486248).

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

44130072 is a wasteful number, since it uses less digits than its factorization.

44130072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 44130072 is about 6643.0468912992. The cubic root of 44130072 is about 353.3823696826.

The spelling of 44130072 in words is "forty-four million, one hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 347 694 757 1041 1388 1514 2082 2271 2429 2776 3028 4164 4542 4858 5299 6056 7287 8328 9084 9716 10598 14574 15897 18168 19432 21196 29148 31794 42392 58296 63588 127176 262679 525358 788037 1050716 1576074 1838753 2101432 3152148 3677506 5516259 6304296 7355012 11032518 14710024 22065036 44130072