Base | Representation |
---|---|
bin | 1101101011100… |
… | …0100000001100 |
3 | 10222222010221210 |
4 | 3122320200030 |
5 | 104142110303 |
6 | 5405454420 |
7 | 1264466133 |
oct | 332704014 |
9 | 128863853 |
10 | 57378828 |
11 | 2a430621 |
12 | 17271410 |
13 | bb6cb90 |
14 | 789891a |
15 | 5086203 |
hex | 36b880c |
57378828 has 48 divisors (see below), whose sum is σ = 145623296. Its totient is φ = 17478720.
The previous prime is 57378821. The next prime is 57378829. The reversal of 57378828 is 82887375.
57378828 is a nontrivial binomial coefficient, being equal to C(10713, 2).
It is not an unprimeable number, because it can be changed into a prime (57378821) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14283 + ... + 17853.
Almost surely, 257378828 is an apocalyptic number.
57378828 is the 10712-nd triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 57378828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72811648).
57378828 is an abundant number, since it is smaller than the sum of its proper divisors (88244468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57378828 is a wasteful number, since it uses less digits than its factorization.
57378828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).
The product of its digits is 752640, while the sum is 48.
The square root of 57378828 is about 7574.8813852099. The cubic root of 57378828 is about 385.7008160689.
It can be divided in two parts, 573 and 78828, that added together give a triangular number (79401 = T398).
The spelling of 57378828 in words is "fifty-seven million, three hundred seventy-eight thousand, eight hundred twenty-eight".
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