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44117164 = 22713196379
BaseRepresentation
bin1010100001001…
…0110010101100
310002000101101001
42220102302230
542243222124
64213330044
71043663320
oct250226254
9102011331
1044117164
11229a2973
1212936924
1391a8840
145c05980
153d16b44
hex2a12cac

44117164 has 48 divisors (see below), whose sum is σ = 100038400. Its totient is φ = 16531776.

The previous prime is 44117141. The next prime is 44117167. The reversal of 44117164 is 46171144.

44117164 = T299 + T300 + ... + T662.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (44117167) 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 15 ways as a sum of consecutive naturals, for example, 3727 + ... + 10105.

Almost surely, 244117164 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 44117164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50019200).

44117164 is an abundant number, since it is smaller than the sum of its proper divisors (55921236).

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

44117164 is a wasteful number, since it uses less digits than its factorization.

44117164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6420 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 44117164 is about 6642.0752781040. The cubic root of 44117164 is about 353.3479116646.

The spelling of 44117164 in words is "forty-four million, one hundred seventeen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 6379 6916 12758 25516 44653 82927 89306 121201 165854 178612 242402 331708 484804 580489 848407 1160978 1575613 1696814 2321956 3151226 3393628 6302452 11029291 22058582 44117164