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42591024 = 24327293147
BaseRepresentation
bin1010001001111…
…0001100110000
32222010211220100
42202132030300
541400403044
64120512400
71025006040
oct242361460
988124810
1042591024
11220502a3
121231b700
138a92cb8
145929720
153b14869
hex289e330

42591024 has 240 divisors, whose sum is σ = 148561920. Its totient is φ = 11128320.

The previous prime is 42591019. The next prime is 42591037. The reversal of 42591024 is 42019524.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 906169 + ... + 906215.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 242591024 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 42591024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

42591024 is an abundant number, since it is smaller than the sum of its proper divisors (105970896).

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

42591024 is a wasteful number, since it uses less digits than its factorization.

42591024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42591024 is about 6526.1798933220. The cubic root of 42591024 is about 349.2255638792.

The spelling of 42591024 in words is "forty-two million, five hundred ninety-one thousand, twenty-four".