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44000480 = 255275003
BaseRepresentation
bin1010011111011…
…0010011100000
310001210110022102
42213312103200
542231003410
64211025532
71042666166
oct247662340
9101713272
1044000480
1122923237
121289b2a8
1391676b4
145bb5236
153ce22a5
hex29f64e0

44000480 has 24 divisors (see below), whose sum is σ = 103951512. Its totient is φ = 17600128.

The previous prime is 44000431. The next prime is 44000491. The reversal of 44000480 is 8400044.

44000480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137342 + ... + 137661.

It is an arithmetic number, because the mean of its divisors is an integer number (4331313).

Almost surely, 244000480 is an apocalyptic number.

44000480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44000480 is an abundant number, since it is smaller than the sum of its proper divisors (59951032).

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

44000480 is a wasteful number, since it uses less digits than its factorization.

44000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275018 (or 275010 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 44000480 is about 6633.2857619735. The cubic root of 44000480 is about 353.0361172910.

The spelling of 44000480 in words is "forty-four million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 275003 550006 1100012 1375015 2200024 2750030 4400048 5500060 8800096 11000120 22000240 44000480