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42434184 = 23313277491
BaseRepresentation
bin1010000111011…
…1111010001000
32221211212202110
42201313322020
541330343214
64113302320
71023453552
oct241677210
987755673
1042434184
1121a53481
12122649a0
138a397b0
1458c84d2
153ad3159
hex2877e88

42434184 has 64 divisors (see below), whose sum is σ = 114891840. Its totient is φ = 12983040.

The previous prime is 42434173. The next prime is 42434209. The reversal of 42434184 is 48143424.

42434184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86179 + ... + 86669.

It is an arithmetic number, because the mean of its divisors is an integer number (1795185).

Almost surely, 242434184 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 42434184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57445920).

42434184 is an abundant number, since it is smaller than the sum of its proper divisors (72457656).

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

42434184 is a wasteful number, since it uses less digits than its factorization.

42434184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 42434184 is about 6514.1525926248. The cubic root of 42434184 is about 348.7963661841.

The spelling of 42434184 in words is "forty-two million, four hundred thirty-four thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 277 312 491 554 831 982 1108 1473 1662 1964 2216 2946 3324 3601 3928 5892 6383 6648 7202 10803 11784 12766 14404 19149 21606 25532 28808 38298 43212 51064 76596 86424 136007 153192 272014 408021 544028 816042 1088056 1632084 1768091 3264168 3536182 5304273 7072364 10608546 14144728 21217092 42434184