| Base | Representation |
|---|---|
| bin | 11100111011001… |
| … | …00010100000000 |
| 3 | 121220112222110000 |
| 4 | 32131210110000 |
| 5 | 444103210221 |
| 6 | 40024240000 |
| 7 | 6004223511 |
| oct | 1635442400 |
| 9 | 556488400 |
| 10 | 242631936 |
| 11 | 114a60a68 |
| 12 | 69310000 |
| 13 | 3b362ac1 |
| 14 | 2431ca08 |
| 15 | 1647ae26 |
| hex | e764500 |
242631936 has 90 divisors (see below), whose sum is σ = 723546362. Its totient is φ = 80870400.
The previous prime is 242631931. The next prime is 242631941. The reversal of 242631936 is 639136242.
It is an interprime number because it is at equal distance from previous prime (242631931) and next prime (242631941).
It can be written as a sum of positive squares in only one way, i.e., 228614400 + 14017536 = 15120^2 + 3744^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 242631936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242631931) by changing a digit.
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 9 ways as a sum of consecutive naturals, for example, 14886 + ... + 26586.
Almost surely, 2242631936 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 242631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361773181).
242631936 is an abundant number, since it is smaller than the sum of its proper divisors (480914426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242631936 is an equidigital number, since it uses as much as digits as its factorization.
242631936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11729 (or 11706 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 242631936 is about 15576.6471360174. The cubic root of 242631936 is about 623.7099243465.
The spelling of 242631936 in words is "two hundred forty-two million, six hundred thirty-one thousand, nine hundred thirty-six".
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