| Base | Representation |
|---|---|
| bin | 1010001000101… |
| … | …0100001000000 |
| 3 | 2221222202022021 |
| 4 | 2202022201000 |
| 5 | 41340313100 |
| 6 | 4115051224 |
| 7 | 1024222012 |
| oct | 242124100 |
| 9 | 87882267 |
| 10 | 42510400 |
| 11 | 21aa5769 |
| 12 | 122a0b14 |
| 13 | 8a653aa |
| 14 | 59081b2 |
| 15 | 3aeaa1a |
| hex | 288a840 |
42510400 has 63 divisors (see below), whose sum is σ = 105247821. Its totient is φ = 16899840.
The previous prime is 42510397. The next prime is 42510407. The reversal of 42510400 is 401524.
The square root of 42510400 is 6520.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 15303744 + 27206656 = 3912^2 + 5216^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (42510407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260719 + ... + 260881.
Almost surely, 242510400 is an apocalyptic number.
42510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
42510400 is the 6520-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42510400
42510400 is an abundant number, since it is smaller than the sum of its proper divisors (62737421).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42510400 is an equidigital number, since it uses as much as digits as its factorization.
42510400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 348 (or 170 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 16.
The cubic root of 42510400 is about 349.0050655663.
Multiplying 42510400 by its sum of digits (16), we get a square (680166400 = 260802).
42510400 divided by its sum of digits (16) gives a square (2656900 = 16302).
Adding to 42510400 its reverse (401524), we get a palindrome (42911924).
The spelling of 42510400 in words is "forty-two million, five hundred ten thousand, four hundred".
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