| Base | Representation |
|---|---|
| bin | 111101000001… |
| … | …0111001001000 |
| 3 | 2020012102201100 |
| 4 | 1322002321020 |
| 5 | 31142242131 |
| 6 | 3101421400 |
| 7 | 535640160 |
| oct | 172027110 |
| 9 | 66172640 |
| 10 | 31993416 |
| 11 | 17072144 |
| 12 | a86a860 |
| 13 | 6822420 |
| 14 | 436b5a0 |
| 15 | 2c1e7e6 |
| hex | 1e82e48 |
31993416 has 192 divisors, whose sum is σ = 112694400. Its totient is φ = 7962624.
The previous prime is 31993411. The next prime is 31993421. The reversal of 31993416 is 61439913.
It is an interprime number because it is at equal distance from previous prime (31993411) and next prime (31993421).
It is a super-3 number, since 3×319934163 (a number of 23 digits) contains 333 as substring.
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 not an unprimeable number, because it can be changed into a prime (31993411) 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 47 ways as a sum of consecutive naturals, for example, 124360 + ... + 124616.
It is an arithmetic number, because the mean of its divisors is an integer number (586950).
Almost surely, 231993416 is an apocalyptic number.
31993416 is a gapful number since it is divisible by the number (36) 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 31993416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56347200).
31993416 is an abundant number, since it is smaller than the sum of its proper divisors (80700984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31993416 is a wasteful number, since it uses less digits than its factorization.
31993416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 308 (or 301 counting only the distinct ones).
The product of its digits is 17496, while the sum is 36.
The square root of 31993416 is about 5656.2722706744. The cubic root of 31993416 is about 317.4584350490.
The spelling of 31993416 in words is "thirty-one million, nine hundred ninety-three thousand, four hundred sixteen".
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