| Base | Representation |
|---|---|
| bin | 1101101011001… |
| … | …1001110100000 |
| 3 | 10222221001022100 |
| 4 | 3122303032200 |
| 5 | 104140412331 |
| 6 | 5405210400 |
| 7 | 1264346130 |
| oct | 332631640 |
| 9 | 128831270 |
| 10 | 57357216 |
| 11 | 2a416364 |
| 12 | 17260a00 |
| 13 | bb630a7 |
| 14 | 7890ac0 |
| 15 | 507eae6 |
| hex | 36b33a0 |
57357216 has 144 divisors (see below), whose sum is σ = 194673024. Its totient is φ = 15662592.
The previous prime is 57357211. The next prime is 57357229. The reversal of 57357216 is 61275375.
57357216 is a `hidden beast` number, since 5 + 73 + 572 + 16 = 666.
57357216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (57357211) 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, 45750 + ... + 46986.
It is an arithmetic number, because the mean of its divisors is an integer number (1351896).
Almost surely, 257357216 is an apocalyptic number.
57357216 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 57357216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97336512).
57357216 is an abundant number, since it is smaller than the sum of its proper divisors (137315808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57357216 is a wasteful number, since it uses less digits than its factorization.
57357216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).
The product of its digits is 44100, while the sum is 36.
The square root of 57357216 is about 7573.4546938633. The cubic root of 57357216 is about 385.6523846578.
The spelling of 57357216 in words is "fifty-seven million, three hundred fifty-seven thousand, two hundred sixteen".
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