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44022816 = 2532152857
BaseRepresentation
bin1010011111101…
…1110000100000
310001211120221200
42213323300200
542232212231
64211321200
71043121255
oct247736040
9101746850
1044022816
1122938aa2
12128b0200
139174906
145bbd42c
153ce8be6
hex29fbc20

44022816 has 36 divisors (see below), whose sum is σ = 125190702. Its totient is φ = 14674176.

The previous prime is 44022799. The next prime is 44022817. The reversal of 44022816 is 61822044.

44022816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32490000 + 11532816 = 5700^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 44022816.

It is not an unprimeable number, because it can be changed into a prime (44022817) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 76141 + ... + 76716.

Almost surely, 244022816 is an apocalyptic number.

It is an amenable number.

44022816 is an abundant number, since it is smaller than the sum of its proper divisors (81167886).

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

44022816 is a wasteful number, since it uses less digits than its factorization.

44022816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152873 (or 152862 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44022816 is about 6634.9691785268. The cubic root of 44022816 is about 353.0958445242.

The spelling of 44022816 in words is "forty-four million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 152857 305714 458571 611428 917142 1222856 1375713 1834284 2445712 2751426 3668568 4891424 5502852 7337136 11005704 14674272 22011408 44022816