Base | Representation |
---|---|
bin | 1101100110000… |
… | …1101111100000 |
3 | 10222022002110212 |
4 | 3121201233200 |
5 | 104044222311 |
6 | 5354113252 |
7 | 1261456100 |
oct | 331415740 |
9 | 128262425 |
10 | 57023456 |
11 | 2a208626 |
12 | 1711b828 |
13 | ba771b9 |
14 | 7805200 |
15 | 5015c8b |
hex | 3661be0 |
57023456 has 72 divisors (see below), whose sum is σ = 133929936. Its totient is φ = 23815680.
The previous prime is 57023453. The next prime is 57023467. The reversal of 57023456 is 65432075.
57023456 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 (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57023453) 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 11 ways as a sum of consecutive naturals, for example, 63845 + ... + 64731.
It is an arithmetic number, because the mean of its divisors is an integer number (1860138).
Almost surely, 257023456 is an apocalyptic number.
57023456 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 57023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66964968).
57023456 is an abundant number, since it is smaller than the sum of its proper divisors (76906480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57023456 is a wasteful number, since it uses less digits than its factorization.
57023456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 952 (or 937 counting only the distinct ones).
The product of its (nonzero) digits is 25200, while the sum is 32.
The square root of 57023456 is about 7551.3876870414. The cubic root of 57023456 is about 384.9028956207.
The spelling of 57023456 in words is "fifty-seven million, twenty-three thousand, four hundred fifty-six".
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