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42384060 = 223851719
BaseRepresentation
bin1010000110101…
…1101010111100
32221202100000000
42201223222330
541322242220
64112234300
71023154455
oct241535274
987670000
1042384060
1121a19854
121223b990
138a1ca34
1458b412c
153ac3390
hex286babc

42384060 has 216 divisors, whose sum is σ = 148795920. Its totient is φ = 10077696.

The previous prime is 42384059. The next prime is 42384071. The reversal of 42384060 is 6048324.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2230731 + ... + 2230749.

It is an arithmetic number, because the mean of its divisors is an integer number (688870).

Almost surely, 242384060 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 42384060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74397960).

42384060 is an abundant number, since it is smaller than the sum of its proper divisors (106411860).

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

42384060 is a wasteful number, since it uses less digits than its factorization.

42384060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42384060 is about 6510.3041403609. The cubic root of 42384060 is about 348.6589772860.

The spelling of 42384060 in words is "forty-two million, three hundred eighty-four thousand, sixty".