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42393384 = 23321153527
BaseRepresentation
bin1010000110110…
…1111100101000
32221202210210100
42201231330220
541323042014
64112345400
71023223605
oct241557450
987683710
1042393384
1121a25860
1212245260
138a24057
1458b76ac
153ac6009
hex286df28

42393384 has 48 divisors (see below), whose sum is σ = 125255520. Its totient is φ = 12846240.

The previous prime is 42393383. The next prime is 42393391. The reversal of 42393384 is 48339324.

It is a happy number.

42393384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42393383) 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, 25972 + ... + 27555.

It is an arithmetic number, because the mean of its divisors is an integer number (2609490).

Almost surely, 242393384 is an apocalyptic number.

42393384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42393384 is an abundant number, since it is smaller than the sum of its proper divisors (82862136).

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

42393384 is a wasteful number, since it uses less digits than its factorization.

42393384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53550 (or 53543 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42393384 is about 6511.0201965591. The cubic root of 42393384 is about 348.6845423840.

The spelling of 42393384 in words is "forty-two million, three hundred ninety-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 53527 107054 160581 214108 321162 428216 481743 588797 642324 963486 1177594 1284648 1766391 1926972 2355188 3532782 3853944 4710376 5299173 7065564 10598346 14131128 21196692 42393384