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42812091 = 3372973107
BaseRepresentation
bin1010001101010…
…0001010111011
32222120002011000
42203110022323
541424441331
64125340043
71026616410
oct243241273
988502130
1042812091
11221913a3
1212407623
138b3c7ca
145986107
153b5a0e6
hex28d42bb

42812091 has 64 divisors (see below), whose sum is σ = 76723200. Its totient is φ = 23079168.

The previous prime is 42812059. The next prime is 42812093. The reversal of 42812091 is 19021824.

42812091 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 42812091 - 25 = 42812059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42812093) 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, 400060 + ... + 400166.

It is an arithmetic number, because the mean of its divisors is an integer number (1198800).

Almost surely, 242812091 is an apocalyptic number.

42812091 is a deficient number, since it is larger than the sum of its proper divisors (33911109).

42812091 is a wasteful number, since it uses less digits than its factorization.

42812091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42812091 is about 6543.0949099031. The cubic root of 42812091 is about 349.8287352567.

The spelling of 42812091 in words is "forty-two million, eight hundred twelve thousand, ninety-one".

Divisors: 1 3 7 9 21 27 29 63 73 87 107 189 203 219 261 321 511 609 657 749 783 963 1533 1827 1971 2117 2247 2889 3103 4599 5481 6351 6741 7811 9309 13797 14819 19053 20223 21721 23433 27927 44457 54677 57159 65163 70299 83781 133371 164031 195489 210897 226519 400113 492093 586467 679557 1476279 1585633 2038671 4756899 6116013 14270697 42812091