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42236832 = 25311233747
BaseRepresentation
bin1010000100011…
…1101110100000
32221110212001010
42201013232200
541303034312
64105140520
71022002311
oct241075640
987425033
1042236832
1121929180
121218a740
13899aa11
145876608
153a9493c
hex2847ba0

42236832 has 192 divisors, whose sum is σ = 132378624. Its totient is φ = 11658240.

The previous prime is 42236773. The next prime is 42236833. The reversal of 42236832 is 23863224.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42236832.

It is not an unprimeable number, because it can be changed into a prime (42236833) 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, 898633 + ... + 898679.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 242236832 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 42236832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

42236832 is an abundant number, since it is smaller than the sum of its proper divisors (90141792).

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

42236832 is a wasteful number, since it uses less digits than its factorization.

42236832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42236832 is about 6498.9869979867. The cubic root of 42236832 is about 348.2548008416.

The spelling of 42236832 in words is "forty-two million, two hundred thirty-six thousand, eight hundred thirty-two".