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44920368 = 2432378431
BaseRepresentation
bin1010101101011…
…0111000110000
310010112012011100
42223112320300
542444422433
64242444400
71053550113
oct253267060
9103465140
1044920368
11233a1379
1213063700
1393ca2cc
145d7457a
153e24b13
hex2ad6e30

44920368 has 60 divisors (see below), whose sum is σ = 129127648. Its totient is φ = 14567040.

The previous prime is 44920327. The next prime is 44920373. The reversal of 44920368 is 86302944.

It is a happy number.

44920368 is a `hidden beast` number, since 449 + 203 + 6 + 8 = 666.

44920368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×449203682 = 4035678922510848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1113 + ... + 9543.

Almost surely, 244920368 is an apocalyptic number.

44920368 is a gapful number since it is divisible by the number (48) 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 44920368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64563824).

44920368 is an abundant number, since it is smaller than the sum of its proper divisors (84207280).

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

44920368 is a wasteful number, since it uses less digits than its factorization.

44920368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44920368 is about 6702.2658855047. The cubic root of 44920368 is about 355.4793972880.

The spelling of 44920368 in words is "forty-four million, nine hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 8431 16862 25293 33724 50586 67448 75879 101172 134896 151758 202344 303516 311947 404688 607032 623894 935841 1214064 1247788 1871682 2495576 2807523 3743364 4991152 5615046 7486728 11230092 14973456 22460184 44920368