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44109696 = 2731729233
BaseRepresentation
bin1010100001000…
…0111110000000
310002000000010110
42220100332000
542243002241
64213231320
71043632461
oct250207600
9102000113
1044109696
11229982a4
1212932540
1391a5317
145c02d68
153d14816
hex2a10f80

44109696 has 128 divisors (see below), whose sum is σ = 128887200. Its totient is φ = 13303808.

The previous prime is 44109691. The next prime is 44109707. The reversal of 44109696 is 69690144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44109691) 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, 189196 + ... + 189428.

Almost surely, 244109696 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 44109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

44109696 is an abundant number, since it is smaller than the sum of its proper divisors (84777504).

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

44109696 is a wasteful number, since it uses less digits than its factorization.

44109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 44109696 is about 6641.5130806165. The cubic root of 44109696 is about 353.3279727046.

The spelling of 44109696 in words is "forty-four million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 233 272 348 384 408 464 466 493 544 696 699 816 928 932 986 1088 1392 1398 1479 1632 1856 1864 1972 2176 2784 2796 2958 3264 3712 3728 3944 3961 5568 5592 5916 6528 6757 7456 7888 7922 11136 11184 11832 11883 13514 14912 15776 15844 20271 22368 23664 23766 27028 29824 31552 31688 40542 44736 47328 47532 54056 63104 63376 81084 89472 94656 95064 108112 114869 126752 162168 189312 190128 216224 229738 253504 324336 344607 380256 432448 459476 507008 648672 689214 760512 864896 918952 1297344 1378428 1521024 1837904 2594688 2756856 3675808 5513712 7351616 11027424 14703232 22054848 44109696