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44117664 = 2531812539
BaseRepresentation
bin1010100001001…
…0111010100000
310002000102001120
42220102322200
542243231124
64213332240
71043664633
oct250227240
9102012046
1044117664
11229a3288
1212937080
1391a8b36
145c05c1a
153d16d79
hex2a12ea0

44117664 has 48 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 14618880.

The previous prime is 44117659. The next prime is 44117687. The reversal of 44117664 is 46671144.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16107 + ... + 18645.

It is an arithmetic number, because the mean of its divisors is an integer number (2426970).

Almost surely, 244117664 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 44117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

44117664 is an abundant number, since it is smaller than the sum of its proper divisors (72376896).

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

44117664 is a wasteful number, since it uses less digits than its factorization.

44117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 44117664 is about 6642.1129168360. The cubic root of 44117664 is about 353.3492465441.

The spelling of 44117664 in words is "forty-four million, one hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2539 2896 4344 5078 5792 7617 8688 10156 15234 17376 20312 30468 40624 60936 81248 121872 243744 459559 919118 1378677 1838236 2757354 3676472 5514708 7352944 11029416 14705888 22058832 44117664