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44116968 = 23373143197
BaseRepresentation
bin1010100001001…
…0101111101000
310002000101002210
42220102233220
542243220333
64213325120
71043662620
oct250225750
9102011083
1044116968
11229a2805
12129367a0
1391a871c
145c05880
153d16a63
hex2a12be8

44116968 has 128 divisors (see below), whose sum is σ = 133816320. Its totient is φ = 11854080.

The previous prime is 44116951. The next prime is 44117027. The reversal of 44116968 is 86961144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223846 + ... + 224042.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 244116968 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 44116968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66908160).

44116968 is an abundant number, since it is smaller than the sum of its proper divisors (89699352).

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

44116968 is a wasteful number, since it uses less digits than its factorization.

44116968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 44116968 is about 6642.0605236628. The cubic root of 44116968 is about 353.3473883891.

The spelling of 44116968 in words is "forty-four million, one hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 43 56 62 84 86 93 124 129 168 172 186 197 217 248 258 301 344 372 394 434 516 591 602 651 744 788 868 903 1032 1182 1204 1302 1333 1379 1576 1736 1806 2364 2408 2604 2666 2758 3612 3999 4137 4728 5208 5332 5516 6107 7224 7998 8274 8471 9331 10664 11032 12214 15996 16548 16942 18321 18662 24428 25413 27993 31992 33096 33884 36642 37324 42749 48856 50826 55986 59297 67768 73284 74648 85498 101652 111972 118594 128247 146568 170996 177891 203304 223944 237188 256494 262601 341992 355782 474376 512988 525202 711564 787803 1025976 1050404 1423128 1575606 1838207 2100808 3151212 3676414 5514621 6302424 7352828 11029242 14705656 22058484 44116968