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44739072 = 293271973
BaseRepresentation
bin1010101010101…
…0101000000000
310010011222110200
42222222220000
542423122242
64234525200
71052163420
oct252525000
9103158420
1044739072
1123288144
1212b96800
139365931
145d28480
153ddb04c
hex2aaaa00

44739072 has 240 divisors, whose sum is σ = 157460160. Its totient is φ = 11943936.

The previous prime is 44739059. The next prime is 44739089. The reversal of 44739072 is 27093744.

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612828 + ... + 612900.

It is an arithmetic number, because the mean of its divisors is an integer number (656084).

Almost surely, 244739072 is an apocalyptic number.

44739072 is a gapful number since it is divisible by the number (42) 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 44739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78730080).

44739072 is an abundant number, since it is smaller than the sum of its proper divisors (112721088).

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

44739072 is a wasteful number, since it uses less digits than its factorization.

44739072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 44739072 is about 6688.7272331887. The cubic root of 44739072 is about 355.0005210599. Note that the first 3 decimals are identical.

The spelling of 44739072 in words is "forty-four million, seven hundred thirty-nine thousand, seventy-two".