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42023916 = 223211106121
BaseRepresentation
bin1010000001001…
…1101111101100
32221002000222100
42200103233230
541224231131
64100415100
71020124464
oct240235754
987060870
1042023916
11217a3210
12120a7490
138924b2c
14581cba4
153a517e6
hex2813bec

42023916 has 36 divisors (see below), whose sum is σ = 115885224. Its totient is φ = 12734400.

The previous prime is 42023911. The next prime is 42023923. The reversal of 42023916 is 61932024.

42023916 is a `hidden beast` number, since 420 + 239 + 1 + 6 = 666.

42023916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42023916.

It is not an unprimeable number, because it can be changed into a prime (42023911) 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, 52665 + ... + 53456.

It is an arithmetic number, because the mean of its divisors is an integer number (3219034).

Almost surely, 242023916 is an apocalyptic number.

It is an amenable number.

42023916 is an abundant number, since it is smaller than the sum of its proper divisors (73861308).

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

42023916 is a wasteful number, since it uses less digits than its factorization.

42023916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106142 (or 106137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42023916 is about 6482.5855952698. The cubic root of 42023916 is about 347.6686302655.

It can be divided in two parts, 4202 and 3916, that added together give a palindrome (8118).

The spelling of 42023916 in words is "forty-two million, twenty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 106121 212242 318363 424484 636726 955089 1167331 1273452 1910178 2334662 3501993 3820356 4669324 7003986 10505979 14007972 21011958 42023916