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42163884 = 22327167317
BaseRepresentation
bin1010000011010…
…1111010101100
32221100010222100
42200311322230
541243221014
64103415100
71021246530
oct240657254
987303870
1042163884
1121889394
1212154490
138973759
145857bc0
153a7d009
hex2835eac

42163884 has 36 divisors (see below), whose sum is σ = 121807504. Its totient is φ = 12046752.

The previous prime is 42163879. The next prime is 42163889. The reversal of 42163884 is 48836124.

42163884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42163879) and next prime (42163889).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×421638842 = 3555586227930912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42163889) 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 11 ways as a sum of consecutive naturals, for example, 83407 + ... + 83910.

Almost surely, 242163884 is an apocalyptic number.

It is an amenable number.

42163884 is an abundant number, since it is smaller than the sum of its proper divisors (79643620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42163884 is a wasteful number, since it uses less digits than its factorization.

42163884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167334 (or 167329 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42163884 is about 6493.3723133669. The cubic root of 42163884 is about 348.0541929079.

It can be divided in two parts, 4216 and 3884, that added together give a square (8100 = 902).

The spelling of 42163884 in words is "forty-two million, one hundred sixty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 167317 334634 501951 669268 1003902 1171219 1505853 2007804 2342438 3011706 3513657 4684876 6023412 7027314 10540971 14054628 21081942 42163884