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44126464 = 28971777
BaseRepresentation
bin1010100001010…
…1000100000000
310002000212010111
42220111010000
542244021324
64213441104
71044032404
oct250250400
9102025114
1044126464
11229a9958
1212940194
1391acb45
145c09104
153d19794
hex2a15100

44126464 has 36 divisors (see below), whose sum is σ = 89038684. Its totient is φ = 21823488.

The previous prime is 44126449. The next prime is 44126473. The reversal of 44126464 is 46462144.

It can be written as a sum of positive squares in 2 ways, for example, as 21086464 + 23040000 = 4592^2 + 4800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23944 + ... + 25720.

Almost surely, 244126464 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 44126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44519342).

44126464 is an abundant number, since it is smaller than the sum of its proper divisors (44912220).

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

44126464 is an equidigital number, since it uses as much as digits as its factorization.

44126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1876 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 44126464 is about 6642.7753236129. The cubic root of 44126464 is about 353.3727387720.

The spelling of 44126464 in words is "forty-four million, one hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 1777 3104 3554 6208 7108 12416 14216 24832 28432 56864 113728 172369 227456 344738 454912 689476 1378952 2757904 5515808 11031616 22063232 44126464