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42339864 = 2337435861
BaseRepresentation
bin1010000110000…
…0111000011000
32221200002101010
42201200320120
541314333424
64111253520
71022611560
oct241407030
987602333
1042339864
1121999626
121221a2a0
138a05898
1458a1da0
153ab5229
hex2860e18

42339864 has 64 divisors (see below), whose sum is σ = 123805440. Its totient is φ = 11813760.

The previous prime is 42339863. The next prime is 42339889. The reversal of 42339864 is 46893324.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42339863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294 + ... + 10154.

It is an arithmetic number, because the mean of its divisors is an integer number (1934460).

Almost surely, 242339864 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 42339864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61902720).

42339864 is an abundant number, since it is smaller than the sum of its proper divisors (81465576).

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

42339864 is a wasteful number, since it uses less digits than its factorization.

42339864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5916 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 42339864 is about 6506.9089435768. The cubic root of 42339864 is about 348.5377470303.

The spelling of 42339864 in words is "forty-two million, three hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 5861 7224 11722 17583 23444 35166 41027 46888 70332 82054 123081 140664 164108 246162 252023 328216 492324 504046 756069 984648 1008092 1512138 1764161 2016184 3024276 3528322 5292483 6048552 7056644 10584966 14113288 21169932 42339864