Base | Representation |
---|---|
bin | 1101011111100… |
… | …1010010100000 |
3 | 10221111100120221 |
4 | 3113321102200 |
5 | 103442024431 |
6 | 5341012424 |
7 | 1255024540 |
oct | 327712240 |
9 | 127440527 |
10 | 56595616 |
11 | 29a46140 |
12 | 16b54114 |
13 | b95753c |
14 | 7733320 |
15 | 4e7e111 |
hex | 35f94a0 |
56595616 has 96 divisors (see below), whose sum is σ = 140894208. Its totient is φ = 21738240.
The previous prime is 56595613. The next prime is 56595619. The reversal of 56595616 is 61659565.
56595616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (56595613) and next prime (56595619).
It is a nialpdrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (56595613) 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 15 ways as a sum of consecutive naturals, for example, 253681 + ... + 253903.
It is an arithmetic number, because the mean of its divisors is an integer number (1467648).
Almost surely, 256595616 is an apocalyptic number.
56595616 is a gapful number since it is divisible by the number (56) 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 56595616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).
56595616 is an abundant number, since it is smaller than the sum of its proper divisors (84298592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56595616 is a wasteful number, since it uses less digits than its factorization.
56595616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 354 (or 346 counting only the distinct ones).
The product of its digits is 243000, while the sum is 43.
The square root of 56595616 is about 7523.0057822655. The cubic root of 56595616 is about 383.9378516320.
The spelling of 56595616 in words is "fifty-six million, five hundred ninety-five thousand, six hundred sixteen".
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