Base | Representation |
---|---|
bin | 1101101100000… |
… | …1101111010000 |
3 | 11000001001211211 |
4 | 3123001233100 |
5 | 104144313111 |
6 | 5410345504 |
7 | 1265014333 |
oct | 333015720 |
9 | 130031754 |
10 | 57416656 |
11 | 2a456a90 |
12 | 1728b294 |
13 | bb8416b |
14 | 78a861a |
15 | 5092521 |
hex | 36c1bd0 |
57416656 has 40 divisors (see below), whose sum is σ = 122474304. Its totient is φ = 25858560.
The previous prime is 57416641. The next prime is 57416669. The reversal of 57416656 is 65661475.
57416656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 18445 + ... + 21331.
Almost surely, 257416656 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 57416656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61237152).
57416656 is an abundant number, since it is smaller than the sum of its proper divisors (65057648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57416656 is a wasteful number, since it uses less digits than its factorization.
57416656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).
The product of its digits is 151200, while the sum is 40.
The square root of 57416656 is about 7577.3779105968. The cubic root of 57416656 is about 385.7855574613.
The spelling of 57416656 in words is "fifty-seven million, four hundred sixteen thousand, six hundred fifty-six".
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