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44115104 = 2511235449
BaseRepresentation
bin1010100001001…
…0010010100000
310002000021112202
42220102102200
542243140404
64213312332
71043654315
oct250222240
9102007482
1044115104
11229a1370
12129356a8
1391a7917
145c04d0c
153d1621e
hex2a124a0

44115104 has 48 divisors (see below), whose sum is σ = 98884800. Its totient is φ = 19176960.

The previous prime is 44115091. The next prime is 44115107. The reversal of 44115104 is 40151144.

It is a super-2 number, since 2×441151042 = 3892284801861632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44115107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5372 + ... + 10820.

It is an arithmetic number, because the mean of its divisors is an integer number (2060100).

Almost surely, 244115104 is an apocalyptic number.

44115104 is a gapful number since it is divisible by the number (44) 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 44115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49442400).

44115104 is an abundant number, since it is smaller than the sum of its proper divisors (54769696).

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

44115104 is a wasteful number, since it uses less digits than its factorization.

44115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 44115104 is about 6641.9202042783. The cubic root of 44115104 is about 353.3424118549.

Adding to 44115104 its reverse (40151144), we get a palindrome (84266248).

The spelling of 44115104 in words is "forty-four million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 5449 8096 10898 21796 43592 59939 87184 119878 125327 174368 239756 250654 479512 501308 959024 1002616 1378597 1918048 2005232 2757194 4010464 5514388 11028776 22057552 44115104