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42075891 = 32111332693
BaseRepresentation
bin1010000010000…
…0011011110011
32221011200021100
42200200123303
541232412031
64101455443
71020432144
oct240403363
987150240
1042075891
1121829270
1212111583
1389426a0
145833acb
153a61de6
hex28206f3

42075891 has 24 divisors (see below), whose sum is σ = 71403696. Its totient is φ = 23538240.

The previous prime is 42075871. The next prime is 42075941. The reversal of 42075891 is 19857024.

It is not a de Polignac number, because 42075891 - 26 = 42075827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42075821) 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 23 ways as a sum of consecutive naturals, for example, 15060 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (2975154).

Almost surely, 242075891 is an apocalyptic number.

42075891 is a deficient number, since it is larger than the sum of its proper divisors (29327805).

42075891 is a wasteful number, since it uses less digits than its factorization.

42075891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32723 (or 32720 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 42075891 is about 6486.5931736159. The cubic root of 42075891 is about 347.8119029082.

The spelling of 42075891 in words is "forty-two million, seventy-five thousand, eight hundred ninety-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 32693 98079 294237 359623 425009 1078869 1275027 3236607 3825081 4675099 14025297 42075891