Base | Representation |
---|---|
bin | 1010000110011… |
… | …0010100011000 |
3 | 2221201012221000 |
4 | 2201212110120 |
5 | 41321042021 |
6 | 4111545000 |
7 | 1023033525 |
oct | 241462430 |
9 | 87635830 |
10 | 42362136 |
11 | 21a04333 |
12 | 1222b160 |
13 | 8a12a6b |
14 | 58aa14c |
15 | 3abbb26 |
hex | 2866518 |
42362136 has 64 divisors (see below), whose sum is σ = 122803200. Its totient is φ = 13505184.
The previous prime is 42362129. The next prime is 42362137. The reversal of 42362136 is 63126324.
42362136 is a `hidden beast` number, since 4 + 2 + 3 + 621 + 36 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42362137) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 9231.
It is an arithmetic number, because the mean of its divisors is an integer number (1918800).
Almost surely, 242362136 is an apocalyptic number.
42362136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42362136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61401600).
42362136 is an abundant number, since it is smaller than the sum of its proper divisors (80441064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42362136 is a wasteful number, since it uses less digits than its factorization.
42362136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8565 (or 8555 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
The square root of 42362136 is about 6508.6201302580. The cubic root of 42362136 is about 348.5988499818.
The spelling of 42362136 in words is "forty-two million, three hundred sixty-two thousand, one hundred thirty-six".
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