Base | Representation |
---|---|
bin | 1101101011100… |
… | …1100010000000 |
3 | 10222222100201210 |
4 | 3122321202000 |
5 | 104142224130 |
6 | 5405530120 |
7 | 1264514331 |
oct | 332714200 |
9 | 128870653 |
10 | 57383040 |
11 | 2a433800 |
12 | 17273940 |
13 | bb71a80 |
14 | 789a288 |
15 | 50875b0 |
hex | 36b9880 |
57383040 has 384 divisors, whose sum is σ = 227908800. Its totient is φ = 12165120.
The previous prime is 57383033. The next prime is 57383057. The reversal of 57383040 is 4038375.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 57382989 and 57383007.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 3020151 + ... + 3020169.
Almost surely, 257383040 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 57383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).
57383040 is an abundant number, since it is smaller than the sum of its proper divisors (170525760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57383040 is a wasteful number, since it uses less digits than its factorization.
57383040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76 (or 53 counting only the distinct ones).
The product of its (nonzero) digits is 10080, while the sum is 30.
The square root of 57383040 is about 7575.1594042634. The cubic root of 57383040 is about 385.7102535342.
It can be divided in two parts, 5738 and 3040, that added together give a palindrome (8778).
The spelling of 57383040 in words is "fifty-seven million, three hundred eighty-three thousand, forty".
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