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45672384 = 263237877
BaseRepresentation
bin1010111000111…
…0011111000000
310011221101201210
42232032133000
543143004014
64310530120
71063131432
oct256163700
9104841653
1045672384
112386537a
1213366940
1396016a4
1460cc652
154022859
hex2b8e7c0

45672384 has 28 divisors (see below), whose sum is σ = 120842024. Its totient is φ = 15224064.

The previous prime is 45672343. The next prime is 45672433. The reversal of 45672384 is 48327654.

It is a happy number.

45672384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 118747 + ... + 119130.

Almost surely, 245672384 is an apocalyptic number.

It is an amenable number.

45672384 is an abundant number, since it is smaller than the sum of its proper divisors (75169640).

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

45672384 is a wasteful number, since it uses less digits than its factorization.

45672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237892 (or 237882 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 45672384 is about 6758.1346538819. The cubic root of 45672384 is about 357.4521337123.

It can be divided in two parts, 45672 and 384, that added together give a triangular number (46056 = T303).

The spelling of 45672384 in words is "forty-five million, six hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 237877 475754 713631 951508 1427262 1903016 2854524 3806032 5709048 7612064 11418096 15224128 22836192 45672384