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42295935 = 3511318269
BaseRepresentation
bin1010000101011…
…0001001111111
32221120212010010
42201112021333
541311432220
64110314303
71022336523
oct241261177
987525103
1042295935
1121969620
12121b8993
1389bb8a6
14588dd83
153aa71e0
hex285627f

42295935 has 32 divisors (see below), whose sum is σ = 76216320. Its totient is φ = 19843200.

The previous prime is 42295933. The next prime is 42295951. The reversal of 42295935 is 53959224.

It is not a de Polignac number, because 42295935 - 21 = 42295933 is a prime.

It is a super-2 number, since 2×422959352 = 3577892235048450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 42295893 and 42295902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42295931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981 + ... + 9249.

It is an arithmetic number, because the mean of its divisors is an integer number (2381760).

Almost surely, 242295935 is an apocalyptic number.

42295935 is a deficient number, since it is larger than the sum of its proper divisors (33920385).

42295935 is a wasteful number, since it uses less digits than its factorization.

42295935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319.

The product of its digits is 97200, while the sum is 39.

The square root of 42295935 is about 6503.5325016486. The cubic root of 42295935 is about 348.4171655303.

The spelling of 42295935 in words is "forty-two million, two hundred ninety-five thousand, nine hundred thirty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 8269 24807 41345 90959 124035 256339 272877 454795 769017 1281695 1364385 2819729 3845085 8459187 14098645 42295935