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42167331 = 331561753
BaseRepresentation
bin1010000011011…
…0110000100011
32221100022201000
42200312300203
541243323311
64103443043
71021262553
oct240666043
987308630
1042167331
1121890a38
1212156483
1389751ab
145859163
153a7e056
hex2836c23

42167331 has 8 divisors (see below), whose sum is σ = 62470160. Its totient is φ = 28111536.

The previous prime is 42167317. The next prime is 42167341. The reversal of 42167331 is 13376124.

It is not a de Polignac number, because 42167331 - 25 = 42167299 is a prime.

It is a super-2 number, since 2×421673312 = 3556167607327122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1561753 = 42167331 / (4 + 2 + 1 + 6 + 7 + 3 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42167295 and 42167304.

It is not an unprimeable number, because it can be changed into a prime (42167341) 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 7 ways as a sum of consecutive naturals, for example, 780850 + ... + 780903.

It is an arithmetic number, because the mean of its divisors is an integer number (7808770).

Almost surely, 242167331 is an apocalyptic number.

42167331 is a deficient number, since it is larger than the sum of its proper divisors (20302829).

42167331 is a wasteful number, since it uses less digits than its factorization.

42167331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561762 (or 1561756 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 42167331 is about 6493.6377324270. The cubic root of 42167331 is about 348.0636774082.

The spelling of 42167331 in words is "forty-two million, one hundred sixty-seven thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1561753 4685259 14055777 42167331