Base | Representation |
---|---|
bin | 1010000110011… |
… | …0101010010100 |
3 | 2221201021212000 |
4 | 2201212222110 |
5 | 41321113130 |
6 | 4111555300 |
7 | 1023040602 |
oct | 241465224 |
9 | 87637760 |
10 | 42363540 |
11 | 21a0539a |
12 | 1222bb30 |
13 | 8a135ab |
14 | 58aa872 |
15 | 3abc260 |
hex | 2866a94 |
42363540 has 96 divisors (see below), whose sum is σ = 138768000. Its totient is φ = 10699776.
The previous prime is 42363511. The next prime is 42363553. The reversal of 42363540 is 4536324.
42363540 is a `hidden beast` number, since 4 + 23 + 635 + 4 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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, 8196 + ... + 12324.
It is an arithmetic number, because the mean of its divisors is an integer number (1445500).
Almost surely, 242363540 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 42363540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69384000).
42363540 is an abundant number, since it is smaller than the sum of its proper divisors (96404460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42363540 is a wasteful number, since it uses less digits than its factorization.
42363540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 27.
The square root of 42363540 is about 6508.7279863273. The cubic root of 42363540 is about 348.6027011205.
Adding to 42363540 its reverse (4536324), we get a palindrome (46899864).
It can be divided in two parts, 4236 and 3540, that added together give a 5-th power (7776 = 65).
The spelling of 42363540 in words is "forty-two million, three hundred sixty-three thousand, five hundred forty".
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