Base | Representation |
---|---|
bin | 1000111000111… |
… | …0111010100100 |
3 | 2121011022010221 |
4 | 2032032322210 |
5 | 34021114130 |
6 | 3411054124 |
7 | 631631125 |
oct | 216167244 |
9 | 77138127 |
10 | 37285540 |
11 | 1a0571a6 |
12 | 105a1344 |
13 | 7956166 |
14 | 4d4804c |
15 | 341787a |
hex | 238eea4 |
37285540 has 24 divisors (see below), whose sum is σ = 78559992. Its totient is φ = 14864640.
The previous prime is 37285537. The next prime is 37285597. The reversal of 37285540 is 4558273.
It is a happy number.
37285540 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 4 ways, for example, as 1954404 + 35331136 = 1398^2 + 5944^2 .
It is a super-2 number, since 2×372855402 = 2780422986183200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 37285496 and 37285505.
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, 3400 + ... + 9280.
It is an arithmetic number, because the mean of its divisors is an integer number (3273333).
Almost surely, 237285540 is an apocalyptic number.
It is an amenable number.
37285540 is an abundant number, since it is smaller than the sum of its proper divisors (41274452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37285540 is a wasteful number, since it uses less digits than its factorization.
37285540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6207 (or 6205 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 34.
The square root of 37285540 is about 6106.1886639703. The cubic root of 37285540 is about 334.0771810592.
The spelling of 37285540 in words is "thirty-seven million, two hundred eighty-five thousand, five hundred forty".
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