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44268840 = 233257111597
BaseRepresentation
bin1010100011011…
…1110100101000
310002022002102200
42220313310220
542313100330
64220500200
71045164450
oct250676450
9102262380
1044268840
1122a96920
12129aa660
13922c8a5
145c44d60
153d46a60
hex2a37d28

44268840 has 192 divisors, whose sum is σ = 179487360. Its totient is φ = 9192960.

The previous prime is 44268793. The next prime is 44268853. The reversal of 44268840 is 4886244.

44268840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 44268795 and 44268804.

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 47 ways as a sum of consecutive naturals, for example, 26922 + ... + 28518.

It is an arithmetic number, because the mean of its divisors is an integer number (934830).

Almost surely, 244268840 is an apocalyptic number.

44268840 is a gapful number since it is divisible by the number (40) 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 44268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89743680).

44268840 is an abundant number, since it is smaller than the sum of its proper divisors (135218520).

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

44268840 is a wasteful number, since it uses less digits than its factorization.

44268840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 44268840 is about 6653.4832982431. The cubic root of 44268840 is about 353.7523883685.

The spelling of 44268840 in words is "forty-four million, two hundred sixty-eight thousand, eight hundred forty".