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44166072 = 23323293189
BaseRepresentation
bin1010100001111…
…0101110111000
310002002212110110
42220132232320
542301303242
64214344320
71044256026
oct250365670
9102085413
1044166072
1122a26695
121295b0a0
1391c4b92
145c19716
153d2639c
hex2a1ebb8

44166072 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 13009920.

The previous prime is 44166071. The next prime is 44166077. The reversal of 44166072 is 27066144.

44166072 is a modest number, since divided by 6072 gives 4416 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44166071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496204 + ... + 496292.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 244166072 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 44166072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

44166072 is an abundant number, since it is smaller than the sum of its proper divisors (80249928).

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

44166072 is a wasteful number, since it uses less digits than its factorization.

44166072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 44166072 is about 6645.7559389433. The cubic root of 44166072 is about 353.4784365062.

The spelling of 44166072 in words is "forty-four million, one hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 29 31 46 58 62 69 87 89 92 93 116 124 138 174 178 184 186 232 248 267 276 348 356 372 534 552 667 696 712 713 744 899 1068 1334 1426 1798 2001 2047 2136 2139 2581 2668 2697 2759 2852 3596 4002 4094 4278 5162 5336 5394 5518 5704 6141 7192 7743 8004 8188 8277 8556 10324 10788 11036 12282 15486 16008 16376 16554 17112 20648 20677 21576 22072 24564 30972 33108 41354 49128 59363 61944 62031 63457 66216 80011 82708 118726 124062 126914 160022 165416 178089 190371 237452 240033 248124 253828 320044 356178 380742 474904 480066 496248 507656 640088 712356 761484 960132 1424712 1522968 1840253 1920264 3680506 5520759 7361012 11041518 14722024 22083036 44166072