| Base | Representation |
|---|---|
| bin | 1101011011110… |
| … | …0010101100000 |
| 3 | 10221000200010010 |
| 4 | 3112330111200 |
| 5 | 103411032302 |
| 6 | 5331404520 |
| 7 | 1252634625 |
| oct | 326742540 |
| 9 | 127020103 |
| 10 | 56345952 |
| 11 | 29895603 |
| 12 | 16a53740 |
| 13 | b89aa00 |
| 14 | 76aa34c |
| 15 | 4e3016c |
| hex | 35bc560 |
56345952 has 144 divisors (see below), whose sum is σ = 168231168. Its totient is φ = 16473600.
The previous prime is 56345917. The next prime is 56345959. The reversal of 56345952 is 25954365.
56345952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 56345952.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (56345959) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373077 + ... + 373227.
It is an arithmetic number, because the mean of its divisors is an integer number (1168272).
Almost surely, 256345952 is an apocalyptic number.
56345952 is a gapful number since it is divisible by the number (52) 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 56345952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84115584).
56345952 is an abundant number, since it is smaller than the sum of its proper divisors (111885216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56345952 is a wasteful number, since it uses less digits than its factorization.
56345952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 213 (or 192 counting only the distinct ones).
The product of its digits is 162000, while the sum is 39.
The square root of 56345952 is about 7506.3940743875. The cubic root of 56345952 is about 383.3724559104.
The spelling of 56345952 in words is "fifty-six million, three hundred forty-five thousand, nine hundred fifty-two".
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