Base | Representation |
---|---|
bin | 1011000000000… |
… | …1101010100100 |
3 | 10012211100220010 |
4 | 2300001222210 |
5 | 43303103124 |
6 | 4325010220 |
7 | 1100135043 |
oct | 260015244 |
9 | 105740803 |
10 | 46144164 |
11 | 24057880 |
12 | 13553970 |
13 | 9738351 |
14 | 61b255a |
15 | 40b7529 |
hex | 2c01aa4 |
46144164 has 48 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 13374240.
The previous prime is 46144157. The next prime is 46144183.
46144164 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564 + ... + 10635.
It is an arithmetic number, because the mean of its divisors is an integer number (2553600).
Almost surely, 246144164 is an apocalyptic number.
46144164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
46144164 is an abundant number, since it is smaller than the sum of its proper divisors (76428636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46144164 is a wasteful number, since it uses less digits than its factorization.
46144164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15240 (or 15238 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
The square root of 46144164 is about 6792.9495802633. The cubic root of 46144164 is about 358.6787058204.
It can be divided in two parts, 4614 and 4164, that added together give a palindrome (8778).
The spelling of 46144164 in words is "forty-six million, one hundred forty-four thousand, one hundred sixty-four".
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