Base | Representation |
---|---|
bin | 1101110101110… |
… | …1001000001100 |
3 | 11001020101221000 |
4 | 3131131020030 |
5 | 104330200012 |
6 | 5432140300 |
7 | 1303305054 |
oct | 335351014 |
9 | 131211830 |
10 | 58053132 |
11 | 2a8511a5 |
12 | 17537690 |
13 | c047a87 |
14 | 79d2564 |
15 | 516addc |
hex | 375d20c |
58053132 has 72 divisors (see below), whose sum is σ = 158953200. Its totient is φ = 18320256.
The previous prime is 58053119. The next prime is 58053133. The reversal of 58053132 is 23135085.
58053132 is a `hidden beast` number, since 580 + 53 + 1 + 32 = 666.
58053132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×580531322 = 6740332270018848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 58053096 and 58053105.
It is not an unprimeable number, because it can be changed into a prime (58053133) 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 23 ways as a sum of consecutive naturals, for example, 38244 + ... + 39732.
Almost surely, 258053132 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 58053132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79476600).
58053132 is an abundant number, since it is smaller than the sum of its proper divisors (100900068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58053132 is a wasteful number, since it uses less digits than its factorization.
58053132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1540 (or 1513 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 58053132 is about 7619.2605940472. The cubic root of 58053132 is about 387.2058276534.
It can be divided in two parts, 58053 and 132, that added together give a palindrome (58185).
The spelling of 58053132 in words is "fifty-eight million, fifty-three thousand, one hundred thirty-two".
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