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42007167 = 36291987
BaseRepresentation
bin1010000000111…
…1101001111111
32221001012000000
42200033221333
541223212132
64100205343
71020024606
oct240175177
987035000
1042007167
1121791674
1212099853
13891a317
145816a3d
153a4b87c
hex280fa7f

42007167 has 28 divisors (see below), whose sum is σ = 65186520. Its totient is φ = 27025488.

The previous prime is 42007151. The next prime is 42007171. The reversal of 42007167 is 76170024.

It is not a de Polignac number, because 42007167 - 24 = 42007151 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42007167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007067) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20148 + ... + 22134.

It is an arithmetic number, because the mean of its divisors is an integer number (2328090).

Almost surely, 242007167 is an apocalyptic number.

42007167 is a deficient number, since it is larger than the sum of its proper divisors (23179353).

42007167 is an equidigital number, since it uses as much as digits as its factorization.

42007167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 42007167 is about 6481.2936208754. The cubic root of 42007167 is about 347.6224353347.

The spelling of 42007167 in words is "forty-two million, seven thousand, one hundred sixty-seven".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 1987 2349 5961 7047 17883 21141 53649 57623 160947 172869 482841 518607 1448523 1555821 4667463 14002389 42007167