Search a number
-
+
42339942 = 23319291423
BaseRepresentation
bin1010000110000…
…0111001100110
32221200002111000
42201200321212
541314334232
64111254130
71022612031
oct241407146
987602430
1042339942
1121999697
121221a346
138a05928
1458a2018
153ab527c
hex2860e66

42339942 has 64 divisors (see below), whose sum is σ = 102528000. Its totient is φ = 12900384.

The previous prime is 42339937. The next prime is 42339943. The reversal of 42339942 is 24993324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42339897 and 42339906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42339943) 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 31 ways as a sum of consecutive naturals, for example, 29043 + ... + 30465.

It is an arithmetic number, because the mean of its divisors is an integer number (1602000).

Almost surely, 242339942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42339942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51264000).

42339942 is an abundant number, since it is smaller than the sum of its proper divisors (60188058).

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

42339942 is a wasteful number, since it uses less digits than its factorization.

42339942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1476 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 42339942 is about 6506.9149372033. The cubic root of 42339942 is about 348.5379610597.

The spelling of 42339942 in words is "forty-two million, three hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1423 1566 1653 2846 3306 4269 4959 8538 9918 12807 14877 25614 27037 29754 38421 41267 54074 76842 81111 82534 123801 162222 243333 247602 371403 486666 729999 742806 784073 1114209 1459998 1568146 2228418 2352219 4704438 7056657 14113314 21169971 42339942