Base | Representation |
---|---|
bin | 11011010011101… |
… | …011100111101000 |
3 | 1011221002010201220 |
4 | 123103223213220 |
5 | 1414241103412 |
6 | 113243342040 |
7 | 14232106320 |
oct | 3323534750 |
9 | 1157063656 |
10 | 458144232 |
11 | 2156795a7 |
12 | 109521920 |
13 | 73bbb980 |
14 | 44bbc280 |
15 | 2a34b68c |
hex | 1b4eb9e8 |
458144232 has 128 divisors (see below), whose sum is σ = 1426118400. Its totient is φ = 119420928.
The previous prime is 458144201. The next prime is 458144273. The reversal of 458144232 is 232441854.
It is a super-2 number, since 2×4581442322 = 419792274629739648, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 458144193 and 458144202.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193198 + ... + 195554.
It is an arithmetic number, because the mean of its divisors is an integer number (11141550).
Almost surely, 2458144232 is an apocalyptic number.
458144232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 458144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713059200).
458144232 is an abundant number, since it is smaller than the sum of its proper divisors (967974168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
458144232 is a wasteful number, since it uses less digits than its factorization.
458144232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).
The product of its digits is 30720, while the sum is 33.
The square root of 458144232 is about 21404.3040531572. The cubic root of 458144232 is about 770.9047845125.
The spelling of 458144232 in words is "four hundred fifty-eight million, one hundred forty-four thousand, two hundred thirty-two".
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