Base | Representation |
---|---|
bin | 1111101010110000001000 |
3 | 21201200010012 |
4 | 33222300020 |
5 | 2022413042 |
6 | 224011052 |
7 | 46624361 |
oct | 17526010 |
9 | 7650105 |
10 | 4107272 |
11 | 2355944 |
12 | 1460a88 |
13 | b0a650 |
14 | 78cb68 |
15 | 561e82 |
hex | 3eac08 |
4107272 has 32 divisors (see below), whose sum is σ = 8422680. Its totient is φ = 1866240.
The previous prime is 4107263. The next prime is 4107281. The reversal of 4107272 is 2727014.
It is an interprime number because it is at equal distance from previous prime (4107263) and next prime (4107281).
It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 1331716 = 1666^2 + 1154^2 .
It is a super-3 number, since 3×41072723 (a number of 21 digits) contains 333 as substring.
It is an alternating number because its digits alternate between even and odd.
It is a cake number, because a cake can be divided into 4107272 parts by 291 planar cuts.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7322 + ... + 7862.
Almost surely, 24107272 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 4107272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211340).
4107272 is an abundant number, since it is smaller than the sum of its proper divisors (4315408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4107272 is a wasteful number, since it uses less digits than its factorization.
4107272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 633 (or 629 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 23.
The square root of 4107272 is about 2026.6405700074. The cubic root of 4107272 is about 160.1466364033.
The spelling of 4107272 in words is "four million, one hundred seven thousand, two hundred seventy-two".
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