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42164967 = 3131081153
BaseRepresentation
bin1010000011011…
…0001011100111
32221100012110110
42200312023213
541243234332
64103424103
71021252635
oct240661347
987305413
1042164967
112188a189
1212155033
1389740b0
145858355
153a7d4cc
hex28362e7

42164967 has 8 divisors (see below), whose sum is σ = 60544624. Its totient is φ = 25947648.

The previous prime is 42164953. The next prime is 42164977. The reversal of 42164967 is 76946124.

It is a happy number.

42164967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42164967 - 24 = 42164951 is a prime.

It is a super-2 number, since 2×421649672 = 3555768884222178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1081153 = 42164967 / (4 + 2 + 1 + 6 + 4 + 9 + 6 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42164917) 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 7 ways as a sum of consecutive naturals, for example, 540538 + ... + 540615.

It is an arithmetic number, because the mean of its divisors is an integer number (7568078).

Almost surely, 242164967 is an apocalyptic number.

42164967 is a deficient number, since it is larger than the sum of its proper divisors (18379657).

42164967 is a wasteful number, since it uses less digits than its factorization.

42164967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081169.

The product of its digits is 72576, while the sum is 39.

The square root of 42164967 is about 6493.4557055546. The cubic root of 42164967 is about 348.0571728631.

The spelling of 42164967 in words is "forty-two million, one hundred sixty-four thousand, nine hundred sixty-seven".

Divisors: 1 3 13 39 1081153 3243459 14054989 42164967