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45006368 = 2511127859
BaseRepresentation
bin1010101110101…
…1111000100000
310010200120010112
42223223320200
543010200433
64244350452
71054355621
oct253537040
9103616115
1045006368
112344aa50
12130a5428
13942a4b4
145d97a48
153e40348
hex2aebe20

45006368 has 24 divisors (see below), whose sum is σ = 96662160. Its totient is φ = 20457280.

The previous prime is 45006359. The next prime is 45006373. The reversal of 45006368 is 86360054.

45006368 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 (32).

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 3 ways as a sum of consecutive naturals, for example, 63578 + ... + 64281.

It is an arithmetic number, because the mean of its divisors is an integer number (4027590).

Almost surely, 245006368 is an apocalyptic number.

It is an amenable number.

45006368 is an abundant number, since it is smaller than the sum of its proper divisors (51655792).

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

45006368 is a wasteful number, since it uses less digits than its factorization.

45006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127880 (or 127872 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 45006368 is about 6708.6785584048. The cubic root of 45006368 is about 355.7061076551.

The spelling of 45006368 in words is "forty-five million, six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 127859 255718 511436 1022872 1406449 2045744 2812898 4091488 5625796 11251592 22503184 45006368