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44129568 = 253797677
BaseRepresentation
bin1010100001010…
…1110100100000
310002001000101110
42220111310200
542244121233
64213503320
71044044430
oct250256440
9102030343
1044129568
1122a0121a
1212941b40
1391b1392
145c0a2c0
153d1a663
hex2a15d20

44129568 has 96 divisors (see below), whose sum is σ = 133951104. Its totient is φ = 12460032.

The previous prime is 44129563. The next prime is 44129611. The reversal of 44129568 is 86592144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44129563) 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, 64846 + ... + 65522.

It is an arithmetic number, because the mean of its divisors is an integer number (1395324).

Almost surely, 244129568 is an apocalyptic number.

44129568 is a gapful number since it is divisible by the number (48) 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 44129568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66975552).

44129568 is an abundant number, since it is smaller than the sum of its proper divisors (89821536).

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

44129568 is a wasteful number, since it uses less digits than its factorization.

44129568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 44129568 is about 6643.0089567906. The cubic root of 44129568 is about 353.3810243763.

The spelling of 44129568 in words is "forty-four million, one hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 672 677 679 776 1164 1354 1358 1552 2031 2037 2328 2708 2716 3104 4062 4074 4656 4739 5416 5432 8124 8148 9312 9478 10832 10864 14217 16248 16296 18956 21664 21728 28434 32496 32592 37912 56868 64992 65184 65669 75824 113736 131338 151648 197007 227472 262676 394014 454944 459683 525352 788028 919366 1050704 1379049 1576056 1838732 2101408 2758098 3152112 3677464 5516196 6304224 7354928 11032392 14709856 22064784 44129568