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42236124 = 2237532179
BaseRepresentation
bin1010000100011…
…1100011011100
32221110211001220
42201013203130
541303023444
64105133340
71022000250
oct241074334
987424056
1042236124
1121928697
121218a250
13899a5b8
145876260
153a94619
hex28478dc

42236124 has 72 divisors (see below), whose sum is σ = 115436160. Its totient is φ = 11773632.

The previous prime is 42236111. The next prime is 42236147. The reversal of 42236124 is 42163224.

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

It is a junction number, because it is equal to n+sod(n) for n = 42236094 and 42236103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235867 + ... + 236045.

It is an arithmetic number, because the mean of its divisors is an integer number (1603280).

Almost surely, 242236124 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 42236124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57718080).

42236124 is an abundant number, since it is smaller than the sum of its proper divisors (73200036).

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

42236124 is a wasteful number, since it uses less digits than its factorization.

42236124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 244 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42236124 is about 6498.9325277310. The cubic root of 42236124 is about 348.2528549430.

Adding to 42236124 its reverse (42163224), we get a palindrome (84399348).

Subtracting from 42236124 its reverse (42163224), we obtain a square (72900 = 2702).

The spelling of 42236124 in words is "forty-two million, two hundred thirty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 179 212 318 358 371 537 636 716 742 1074 1113 1253 1484 2148 2226 2506 2809 3759 4452 5012 5618 7518 8427 9487 11236 15036 16854 18974 19663 28461 33708 37948 39326 56922 58989 66409 78652 113844 117978 132818 199227 235956 265636 398454 502811 796908 1005622 1508433 2011244 3016866 3519677 6033732 7039354 10559031 14078708 21118062 42236124