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58816340 = 225111012647
BaseRepresentation
bin1110000001011…
…1011101010100
311002200011211222
43200113131110
5110024110330
65500345512
71312634132
oct340273524
9132604758
1058816340
1130222650
1217845298
13c25428b
147b50752
15526c0e5
hex3817754

58816340 has 48 divisors (see below), whose sum is σ = 136128384. Its totient is φ = 21168000.

The previous prime is 58816309. The next prime is 58816361. The reversal of 58816340 is 4361885.

58816340 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

58816340 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 58816340.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20897 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (2836008).

Almost surely, 258816340 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 58816340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68064192).

58816340 is an abundant number, since it is smaller than the sum of its proper divisors (77312044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58816340 is a wasteful number, since it uses less digits than its factorization.

58816340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 58816340 is about 7669.1811818473. The cubic root of 58816340 is about 388.8952738483.

It can be divided in two parts, 5881 and 6340, that added together give a palindrome (12221).

The spelling of 58816340 in words is "fifty-eight million, eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2647 4444 5294 5555 10588 11110 13235 22220 26470 29117 52940 58234 116468 145585 267347 291170 534694 582340 1069388 1336735 2673470 2940817 5346940 5881634 11763268 14704085 29408170 58816340