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42375795 = 35711191931
BaseRepresentation
bin1010000110100…
…1101001110011
32221201220122220
42201221221303
541322011140
64112132123
71023121410
oct241515163
987656586
1042375795
1121a13620
1212237043
138a19047
1458b1107
153ac0bd0
hex2869a73

42375795 has 64 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 16675200.

The previous prime is 42375793. The next prime is 42375797. The reversal of 42375795 is 59757324.

42375795 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42375793) and next prime (42375797).

It is not a de Polignac number, because 42375795 - 21 = 42375793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42375793) 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 63 ways as a sum of consecutive naturals, for example, 20980 + ... + 22910.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 242375795 is an apocalyptic number.

42375795 is an abundant number, since it is smaller than the sum of its proper divisors (46650765).

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

42375795 is a wasteful number, since it uses less digits than its factorization.

42375795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976.

The product of its digits is 264600, while the sum is 42.

The square root of 42375795 is about 6509.6693464415. The cubic root of 42375795 is about 348.6363126822.

The spelling of 42375795 in words is "forty-two million, three hundred seventy-five thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1931 1995 3135 4389 5793 7315 9655 13517 21241 21945 28965 36689 40551 63723 67585 106205 110067 148687 183445 202755 256823 318615 403579 446061 550335 743435 770469 1210737 1284115 2017895 2230305 2825053 3852345 6053685 8475159 14125265 42375795