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45583640 = 2353136761
BaseRepresentation
bin1010110111100…
…0110100011000
310011202212222222
42231320310120
543132134030
64305003212
71062311624
oct255706430
9104685888
1045583640
1123804733
1213323508
1395a018b
1460a8184
1540063e5
hex2b78d18

45583640 has 32 divisors (see below), whose sum is σ = 105874560. Its totient is φ = 17644800.

The previous prime is 45583619. The next prime is 45583669. The reversal of 45583640 is 4638554.

45583640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45583640.

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, 17141 + ... + 19620.

It is an arithmetic number, because the mean of its divisors is an integer number (3308580).

Almost surely, 245583640 is an apocalyptic number.

45583640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45583640 is an abundant number, since it is smaller than the sum of its proper divisors (60290920).

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

45583640 is a wasteful number, since it uses less digits than its factorization.

45583640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36803 (or 36799 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 45583640 is about 6751.5657443292. The cubic root of 45583640 is about 357.2204670954.

The spelling of 45583640 in words is "forty-five million, five hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 36761 73522 147044 183805 294088 367610 735220 1139591 1470440 2279182 4558364 5697955 9116728 11395910 22791820 45583640