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42392328 = 233111031559
BaseRepresentation
bin1010000110110…
…1101100001000
32221202202100020
42201231230020
541323023303
64112340440
71023220536
oct241555410
987682306
1042392328
1121a24a90
1212244720
138a23724
1458b7156
153ac5a53
hex286db08

42392328 has 64 divisors (see below), whose sum is σ = 116812800. Its totient is φ = 12713280.

The previous prime is 42392327. The next prime is 42392353. The reversal of 42392328 is 82329324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42392327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26413 + ... + 27971.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 242392328 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 42392328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58406400).

42392328 is an abundant number, since it is smaller than the sum of its proper divisors (74420472).

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

42392328 is a wasteful number, since it uses less digits than its factorization.

42392328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 42392328 is about 6510.9391027716. The cubic root of 42392328 is about 348.6816471686.

The spelling of 42392328 in words is "forty-two million, three hundred ninety-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 1559 2266 2472 3118 3399 4532 4677 6236 6798 9064 9354 12472 13596 17149 18708 27192 34298 37416 51447 68596 102894 137192 160577 205788 321154 411576 481731 642308 963462 1284616 1766347 1926924 3532694 3853848 5299041 7065388 10598082 14130776 21196164 42392328