Base | Representation |
---|---|
bin | 1000111011000… |
… | …1101110000101 |
3 | 2121102112200222 |
4 | 2032301232011 |
5 | 34040144401 |
6 | 3414114125 |
7 | 633063554 |
oct | 216615605 |
9 | 77375628 |
10 | 37428101 |
11 | 1a144317 |
12 | 1064b945 |
13 | 79a6009 |
14 | 4d83d9b |
15 | 3444c1b |
hex | 23b1b85 |
37428101 has 6 divisors (see below), whose sum is σ = 39759570. Its totient is φ = 35226176.
The previous prime is 37428091. The next prime is 37428109. The reversal of 37428101 is 10182473.
37428101 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 3 ways, for example, as 22420225 + 15007876 = 4735^2 + 3874^2 .
It is a de Polignac number, because none of the positive numbers 2k-37428101 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (37428109) 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 5 ways as a sum of consecutive naturals, for example, 64466 + ... + 65043.
It is an arithmetic number, because the mean of its divisors is an integer number (6626595).
Almost surely, 237428101 is an apocalyptic number.
It is an amenable number.
37428101 is a deficient number, since it is larger than the sum of its proper divisors (2331469).
37428101 is a wasteful number, since it uses less digits than its factorization.
37428101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129543 (or 129526 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 26.
The square root of 37428101 is about 6117.8510115890. The cubic root of 37428101 is about 334.5024201368.
The spelling of 37428101 in words is "thirty-seven million, four hundred twenty-eight thousand, one hundred one".
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