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42705793 = 132594283
BaseRepresentation
bin1010001011101…
…0001110000001
32222100200100001
42202322032001
541413041133
64123200001
71025664454
oct242721601
988320301
1042705793
1122119549
1212376001
138b03300
14595949b
153b3887d
hex28ba381

42705793 has 12 divisors (see below), whose sum is σ = 47038320. Its totient is φ = 38743536.

The previous prime is 42705791. The next prime is 42705797. The reversal of 42705793 is 39750724.

It is not a de Polignac number, because 42705793 - 21 = 42705791 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42705791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7830 + ... + 12112.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 242705793 is an apocalyptic number.

It is an amenable number.

42705793 is a deficient number, since it is larger than the sum of its proper divisors (4332527).

42705793 is a wasteful number, since it uses less digits than its factorization.

42705793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 42705793 is about 6534.9669471238. The cubic root of 42705793 is about 349.5389657627.

The spelling of 42705793 in words is "forty-two million, seven hundred five thousand, seven hundred ninety-three".

Divisors: 1 13 59 169 767 4283 9971 55679 252697 723827 3285061 42705793