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44291016 = 23337112663
BaseRepresentation
bin1010100011110…
…1001111001000
310002100012212000
42220331033020
542314303031
64221151000
71045316220
oct250751710
9102305760
1044291016
1123001550
12129bb460
139239a03
145c4d080
153d4d3e6
hex2a3d3c8

44291016 has 128 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 11499840.

The previous prime is 44291003. The next prime is 44291017. The reversal of 44291016 is 61019244.

44291016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44291017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15301 + ... + 17963.

It is an arithmetic number, because the mean of its divisors is an integer number (1198800).

Almost surely, 244291016 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 44291016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

44291016 is an abundant number, since it is smaller than the sum of its proper divisors (109155384).

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

44291016 is a wasteful number, since it uses less digits than its factorization.

44291016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 44291016 is about 6655.1495850957. The cubic root of 44291016 is about 353.8114479945.

It can be divided in two parts, 4429 and 1016, that added together give a palindrome (5445).

The spelling of 44291016 in words is "forty-four million, two hundred ninety-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2663 2772 4158 5326 5544 7989 8316 10652 15978 16632 18641 21304 23967 29293 31956 37282 47934 55923 58586 63912 71901 74564 87879 95868 111846 117172 143802 149128 167769 175758 191736 205051 223692 234344 263637 287604 335538 351516 410102 447384 503307 527274 575208 615153 671076 703032 790911 820204 1006614 1054548 1230306 1342152 1581822 1640408 1845459 2013228 2109096 2460612 3163644 3690918 4026456 4921224 5536377 6327288 7381836 11072754 14763672 22145508 44291016