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45073344 = 2631811297
BaseRepresentation
bin1010101111110…
…0001111000000
310010210222000010
42223330033000
543014321334
64250024520
71055055111
oct253741700
9103728003
1045073344
11234962a8
1213118140
139451b24
145db4208
153e550e9
hex2afc3c0

45073344 has 56 divisors (see below), whose sum is σ = 120007888. Its totient is φ = 14929920.

The previous prime is 45073321. The next prime is 45073351. The reversal of 45073344 is 44337054.

45073344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

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 7 ways as a sum of consecutive naturals, for example, 34104 + ... + 35400.

It is an arithmetic number, because the mean of its divisors is an integer number (2142998).

Almost surely, 245073344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60003944).

45073344 is an abundant number, since it is smaller than the sum of its proper divisors (74934544).

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

45073344 is a wasteful number, since it uses less digits than its factorization.

45073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 45073344 is about 6713.6684457903. The cubic root of 45073344 is about 355.8824676188.

The spelling of 45073344 in words is "forty-five million, seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1297 1448 2172 2594 2896 3891 4344 5188 5792 7782 8688 10376 11584 15564 17376 20752 31128 34752 41504 62256 83008 124512 234757 249024 469514 704271 939028 1408542 1878056 2817084 3756112 5634168 7512224 11268336 15024448 22536672 45073344