Base | Representation |
---|---|
bin | 1010111111101… |
… | …0000101001100 |
3 | 10012202210021121 |
4 | 2233322011030 |
5 | 43301104400 |
6 | 4324210324 |
7 | 1066645345 |
oct | 257720514 |
9 | 105683247 |
10 | 46113100 |
11 | 24036500 |
12 | 135399a4 |
13 | 9727177 |
14 | 61a50cc |
15 | 40ad21a |
hex | 2bfa14c |
46113100 has 108 divisors (see below), whose sum is σ = 114058672. Its totient is φ = 16156800.
The previous prime is 46113097. The next prime is 46113101. The reversal of 46113100 is 131164.
46113100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×461131002 = 4252835983220000, which contains 22 as substring.
46113100 is strictly pandigital in base 9.
It is not an unprimeable number, because it can be changed into a prime (46113101) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447649 + ... + 447751.
Almost surely, 246113100 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 46113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57029336).
46113100 is an abundant number, since it is smaller than the sum of its proper divisors (67945572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46113100 is a wasteful number, since it uses less digits than its factorization.
46113100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 176 (or 158 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 46113100 is about 6790.6627069823. The cubic root of 46113100 is about 358.5982009018.
Adding to 46113100 its reverse (131164), we get a palindrome (46244264).
The spelling of 46113100 in words is "forty-six million, one hundred thirteen thousand, one hundred".
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