Base | Representation |
---|---|
bin | 1001000001110… |
… | …0011010110110 |
3 | 2122020202012200 |
4 | 2100130122312 |
5 | 34143141032 |
6 | 3431325330 |
7 | 636564000 |
oct | 220343266 |
9 | 78222180 |
10 | 37865142 |
11 | 1a412707 |
12 | 10820846 |
13 | 7ac9c13 |
14 | 5059370 |
15 | 34ce47c |
hex | 241c6b6 |
37865142 has 48 divisors (see below), whose sum is σ = 95690400. Its totient is φ = 10816848.
The previous prime is 37865089. The next prime is 37865147. The reversal of 37865142 is 24156873.
It is a junction number, because it is equal to n+sod(n) for n = 37865097 and 37865106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (37865147) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3108 + ... + 9240.
It is an arithmetic number, because the mean of its divisors is an integer number (1993550).
Almost surely, 237865142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37865142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47845200).
37865142 is an abundant number, since it is smaller than the sum of its proper divisors (57825258).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37865142 is a wasteful number, since it uses less digits than its factorization.
37865142 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6162 (or 6145 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 37865142 is about 6153.4658526720. The cubic root of 37865142 is about 335.7993593790.
The spelling of 37865142 in words is "thirty-seven million, eight hundred sixty-five thousand, one hundred forty-two".
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