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45674064 = 2433105727
BaseRepresentation
bin1010111000111…
…0111001010000
310011221111001000
42232032321100
543143032224
64310542000
71063136352
oct256167120
9104844030
1045674064
1123866667
1213367900
139602397
1460cd0d2
1540230c9
hex2b8ee50

45674064 has 40 divisors (see below), whose sum is σ = 131102720. Its totient is φ = 15224544.

The previous prime is 45674063. The next prime is 45674077. The reversal of 45674064 is 46047654.

45674064 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 2×456740642 = 4172240244552192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45674063) by changing a digit.

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, 52432 + ... + 53295.

It is an arithmetic number, because the mean of its divisors is an integer number (3277568).

Almost surely, 245674064 is an apocalyptic number.

It is an amenable number.

45674064 is an abundant number, since it is smaller than the sum of its proper divisors (85428656).

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

45674064 is a wasteful number, since it uses less digits than its factorization.

45674064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105744 (or 105732 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 45674064 is about 6758.2589473917. The cubic root of 45674064 is about 357.4565164645.

The spelling of 45674064 in words is "forty-five million, six hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 105727 211454 317181 422908 634362 845816 951543 1268724 1691632 1903086 2537448 2854629 3806172 5074896 5709258 7612344 11418516 15224688 22837032 45674064