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44314872 = 23373167127
BaseRepresentation
bin1010100100001…
…1000011111000
310002101102120120
42221003003320
542321033442
64221453240
71045445610
oct251030370
9102342516
1044314872
1123018468
1212a11220
139247824
145c57a40
153d554ec
hex2a430f8

44314872 has 128 divisors (see below), whose sum is σ = 133693440. Its totient is φ = 11975040.

The previous prime is 44314867. The next prime is 44314873. The reversal of 44314872 is 27841344.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44314873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348873 + ... + 348999.

It is an arithmetic number, because the mean of its divisors is an integer number (1044480).

Almost surely, 244314872 is an apocalyptic number.

44314872 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 44314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66846720).

44314872 is an abundant number, since it is smaller than the sum of its proper divisors (89378568).

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

44314872 is a wasteful number, since it uses less digits than its factorization.

44314872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 44314872 is about 6656.9416401227. The cubic root of 44314872 is about 353.8749598283.

The spelling of 44314872 in words is "forty-four million, three hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 67 84 93 124 127 134 168 186 201 217 248 254 268 372 381 402 434 469 508 536 651 744 762 804 868 889 938 1016 1302 1407 1524 1608 1736 1778 1876 2077 2604 2667 2814 3048 3556 3752 3937 4154 5208 5334 5628 6231 7112 7874 8308 8509 10668 11256 11811 12462 14539 15748 16616 17018 21336 23622 24924 25527 27559 29078 31496 34036 43617 47244 49848 51054 55118 58156 59563 68072 82677 87234 94488 102108 110236 116312 119126 165354 174468 178689 204216 220472 238252 263779 330708 348936 357378 476504 527558 661416 714756 791337 1055116 1429512 1582674 1846453 2110232 3165348 3692906 5539359 6330696 7385812 11078718 14771624 22157436 44314872