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42339024 = 2434713359
BaseRepresentation
bin1010000110000…
…0101011010000
32221200001020000
42201200223100
541314322044
64111250000
71022606250
oct241405320
987601200
1042339024
1121998a32
1212219900
138a053a0
1458a1960
153ab4d69
hex2860ad0

42339024 has 200 divisors, whose sum is σ = 151240320. Its totient is φ = 11135232.

The previous prime is 42339013. The next prime is 42339029. The reversal of 42339024 is 42093324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42339029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117757 + ... + 118115.

Almost surely, 242339024 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 42339024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

42339024 is an abundant number, since it is smaller than the sum of its proper divisors (108901296).

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

42339024 is a wasteful number, since it uses less digits than its factorization.

42339024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42339024 is about 6506.8443964798. The cubic root of 42339024 is about 348.5354420816.

The spelling of 42339024 in words is "forty-two million, three hundred thirty-nine thousand, twenty-four".