Base | Representation |
---|---|
bin | 1010000111011… |
… | …0011101001000 |
3 | 2221211120121000 |
4 | 2201312131020 |
5 | 41330200412 |
6 | 4113215000 |
7 | 1023430320 |
oct | 241663510 |
9 | 87746530 |
10 | 42428232 |
11 | 21a49a60 |
12 | 12261460 |
13 | 8a36b82 |
14 | 58c6280 |
15 | 3ad14dc |
hex | 2876748 |
42428232 has 128 divisors (see below), whose sum is σ = 146995200. Its totient is φ = 11016000.
The previous prime is 42428213. The next prime is 42428237. The reversal of 42428232 is 23282424.
42428232 is a `hidden beast` number, since 4 + 2 + 428 + 232 = 666.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
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 junction number, because it is equal to n+sod(n) for n = 42428196 and 42428205.
It is not an unprimeable number, because it can be changed into a prime (42428237) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15357 + ... + 17907.
It is an arithmetic number, because the mean of its divisors is an integer number (1148400).
Almost surely, 242428232 is an apocalyptic number.
42428232 is a gapful number since it is divisible by the number (42) 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 42428232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497600).
42428232 is an abundant number, since it is smaller than the sum of its proper divisors (104566968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42428232 is a wasteful number, since it uses less digits than its factorization.
42428232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2584 (or 2574 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 42428232 is about 6513.6957251625. The cubic root of 42428232 is about 348.7800575319.
The spelling of 42428232 in words is "forty-two million, four hundred twenty-eight thousand, two hundred thirty-two".
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