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42392808 = 23372423
BaseRepresentation
bin1010000110110…
…1110011101000
32221202210000000
42201231303220
541323032213
64112343000
71023222123
oct241556350
987683000
1042392808
1121a25387
1212244a60
138a23a03
1458b73ba
153ac5c73
hex286dce8

42392808 has 64 divisors (see below), whose sum is σ = 119260800. Its totient is φ = 14125104.

The previous prime is 42392807. The next prime is 42392813. The reversal of 42392808 is 80829324.

42392808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42392803) 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 15 ways as a sum of consecutive naturals, for example, 16285 + ... + 18707.

It is an arithmetic number, because the mean of its divisors is an integer number (1863450).

Almost surely, 242392808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42392808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59630400).

42392808 is an abundant number, since it is smaller than the sum of its proper divisors (76867992).

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

42392808 is an equidigital number, since it uses as much as digits as its factorization.

42392808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42392808 is about 6510.9759637093. The cubic root of 42392808 is about 348.6829631816.

The spelling of 42392808 in words is "forty-two million, three hundred ninety-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2423 2916 4374 4846 5832 7269 8748 9692 14538 17496 19384 21807 29076 43614 58152 65421 87228 130842 174456 196263 261684 392526 523368 588789 785052 1177578 1570104 1766367 2355156 3532734 4710312 5299101 7065468 10598202 14130936 21196404 42392808