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58824253 is a prime number
BaseRepresentation
bin1110000001100…
…1011000111101
311002200120201001
43200121120331
5110024334003
65500450301
71312666165
oct340313075
9132616631
1058824253
1130228594
1217849991
13c257a67
147b535a5
15526e61d
hex381963d

58824253 has 2 divisors, whose sum is σ = 58824254. Its totient is φ = 58824252.

The previous prime is 58824251. The next prime is 58824331. The reversal of 58824253 is 35242885.

58824253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50168889 + 8655364 = 7083^2 + 2942^2 .

It is a cyclic number.

It is not a de Polignac number, because 58824253 - 21 = 58824251 is a prime.

Together with 58824251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58824251) 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 as a sum of consecutive naturals, namely, 29412126 + 29412127.

It is an arithmetic number, because the mean of its divisors is an integer number (29412127).

Almost surely, 258824253 is an apocalyptic number.

It is an amenable number.

58824253 is a deficient number, since it is larger than the sum of its proper divisors (1).

58824253 is an equidigital number, since it uses as much as digits as its factorization.

58824253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 76800, while the sum is 37.

The square root of 58824253 is about 7669.6970605103. The cubic root of 58824253 is about 388.9127133915.

The spelling of 58824253 in words is "fifty-eight million, eight hundred twenty-four thousand, two hundred fifty-three".