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44125272 = 23321394409
BaseRepresentation
bin1010100001010…
…0110001011000
310002000210111100
42220110301120
542244002042
64213431400
71044026052
oct250246130
9102023440
1044125272
11229a8a74
121293b560
1391ac439
145c088d2
153d1924c
hex2a14c58

44125272 has 48 divisors (see below), whose sum is σ = 120393000. Its totient is φ = 14599296.

The previous prime is 44125259. The next prime is 44125273. The reversal of 44125272 is 27252144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44125273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7804 + ... + 12212.

Almost surely, 244125272 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 44125272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60196500).

44125272 is an abundant number, since it is smaller than the sum of its proper divisors (76267728).

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

44125272 is a wasteful number, since it uses less digits than its factorization.

44125272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4553 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 44125272 is about 6642.6856014717. The cubic root of 44125272 is about 353.3695568258.

It can be divided in two parts, 44 and 125272, that added together give a square (125316 = 3542).

The spelling of 44125272 in words is "forty-four million, one hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 4409 5004 8818 10008 13227 17636 26454 35272 39681 52908 79362 105816 158724 317448 612851 1225702 1838553 2451404 3677106 4902808 5515659 7354212 11031318 14708424 22062636 44125272