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45435957 = 3715713781
BaseRepresentation
bin1010110101010…
…0110000110101
310011111101102020
42231110300311
543112422312
64301503353
71061125230
oct255246065
9104441366
1045435957
1123713786
1213271b59
13954aba8
14606a417
153ec778c
hex2b54c35

45435957 has 16 divisors (see below), whose sum is σ = 69681792. Its totient is φ = 25796160.

The previous prime is 45435931. The next prime is 45435977. The reversal of 45435957 is 75953454.

45435957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45435957 - 211 = 45433909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435977) 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 15 ways as a sum of consecutive naturals, for example, 3594 + ... + 10187.

It is an arithmetic number, because the mean of its divisors is an integer number (4355112).

Almost surely, 245435957 is an apocalyptic number.

It is an amenable number.

45435957 is a deficient number, since it is larger than the sum of its proper divisors (24245835).

45435957 is a wasteful number, since it uses less digits than its factorization.

45435957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948.

The product of its digits is 378000, while the sum is 42.

The square root of 45435957 is about 6740.6199269800. The cubic root of 45435957 is about 356.8342725035.

The spelling of 45435957 in words is "forty-five million, four hundred thirty-five thousand, nine hundred fifty-seven".

Divisors: 1 3 7 21 157 471 1099 3297 13781 41343 96467 289401 2163617 6490851 15145319 45435957