| Base | Representation |
|---|---|
| bin | 1010000101111… |
| … | …0110110000000 |
| 3 | 2221122122221002 |
| 4 | 2201132312000 |
| 5 | 41314102040 |
| 6 | 4111151132 |
| 7 | 1022545340 |
| oct | 241366600 |
| 9 | 87578832 |
| 10 | 42331520 |
| 11 | 21993330 |
| 12 | 122154a8 |
| 13 | 8a01b4a |
| 14 | 589cd20 |
| 15 | 3ab2a15 |
| hex | 285ed80 |
42331520 has 128 divisors (see below), whose sum is σ = 126316800. Its totient is φ = 13178880.
The previous prime is 42331519. The next prime is 42331559. The reversal of 42331520 is 2513324.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-4 number, since 4×423315204 (a number of 32 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 42331492 and 42331501.
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 15 ways as a sum of consecutive naturals, for example, 48851 + ... + 49709.
It is an arithmetic number, because the mean of its divisors is an integer number (986850).
Almost surely, 242331520 is an apocalyptic number.
42331520 is a gapful number since it is divisible by the number (40) 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 42331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63158400).
42331520 is an abundant number, since it is smaller than the sum of its proper divisors (83985280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42331520 is a wasteful number, since it uses less digits than its factorization.
42331520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 896 (or 884 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 42331520 is about 6506.2677473341. The cubic root of 42331520 is about 348.5148498537.
Adding to 42331520 its reverse (2513324), we get a palindrome (44844844).
The spelling of 42331520 in words is "forty-two million, three hundred thirty-one thousand, five hundred twenty".
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