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44104900 = 2252729001
BaseRepresentation
bin1010100000111…
…1110011000100
310001222202112211
42220033303010
542242324100
64213153204
71043612500
oct250176304
9101882484
1044104900
1122994734
121292b804
1391a3098
145c01300
153d131ba
hex2a0fcc4

44104900 has 54 divisors (see below), whose sum is σ = 111345738. Its totient is φ = 15120000.

The previous prime is 44104861. The next prime is 44104901. The reversal of 44104900 is 940144.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 43850884 = 504^2 + 6622^2 .

It is not an unprimeable number, because it can be changed into a prime (44104901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 400 + ... + 9400.

Almost surely, 244104900 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 44104900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55672869).

44104900 is an abundant number, since it is smaller than the sum of its proper divisors (67240838).

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

44104900 is a wasteful number, since it uses less digits than its factorization.

44104900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 44104900 is about 6641.1520084997. The cubic root of 44104900 is about 353.3151665831.

The spelling of 44104900 in words is "forty-four million, one hundred four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 9001 18002 36004 45005 63007 90010 126014 180020 225025 252028 315035 441049 450050 630070 882098 900100 1260140 1575175 1764196 2205245 3150350 4410490 6300700 8820980 11026225 22052450 44104900