Base | Representation |
---|---|
bin | 1101101100111… |
… | …1100000101000 |
3 | 11000010221020000 |
4 | 3123033200220 |
5 | 104203114224 |
6 | 5411503000 |
7 | 1265340645 |
oct | 333174050 |
9 | 130127200 |
10 | 57473064 |
11 | 2a495400 |
12 | 172b7a60 |
13 | bba3a3c |
14 | 78c0dcc |
15 | 50a40c9 |
hex | 36cf828 |
57473064 has 120 divisors (see below), whose sum is σ = 177183930. Its totient is φ = 17392320.
The previous prime is 57473063. The next prime is 57473083. The reversal of 57473064 is 46037475.
57473064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 32970564 + 24502500 = 5742^2 + 4950^2 .
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 (57473063) 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 29 ways as a sum of consecutive naturals, for example, 78042 + ... + 78774.
Almost surely, 257473064 is an apocalyptic number.
57473064 is a gapful number since it is divisible by the number (54) 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 57473064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88591965).
57473064 is an abundant number, since it is smaller than the sum of its proper divisors (119710866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57473064 is a wasteful number, since it uses less digits than its factorization.
57473064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 773 (or 749 counting only the distinct ones).
The product of its (nonzero) digits is 70560, while the sum is 36.
The square root of 57473064 is about 7581.0991287544. The cubic root of 57473064 is about 385.9118522264.
The spelling of 57473064 in words is "fifty-seven million, four hundred seventy-three thousand, sixty-four".
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