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59300427 = 331267307
BaseRepresentation
bin1110001000110…
…1101001001011
311010120202220010
43202031221023
5110140103202
65515003003
71320021354
oct342155113
9133522803
1059300427
113052331a
1217a39463
13c393714
147c38d2b
15531576c
hex388da4b

59300427 has 24 divisors (see below), whose sum is σ = 83189568. Its totient is φ = 37564560.

The previous prime is 59300419. The next prime is 59300431. The reversal of 59300427 is 72400395.

59300427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 59300427 - 23 = 59300419 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 59300394 and 59300403.

It is not an unprimeable number, because it can be changed into a prime (59300477) 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, 193008 + ... + 193314.

It is an arithmetic number, because the mean of its divisors is an integer number (3466232).

Almost surely, 259300427 is an apocalyptic number.

59300427 is a deficient number, since it is larger than the sum of its proper divisors (23889141).

59300427 is a wasteful number, since it uses less digits than its factorization.

59300427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 59300427 is about 7700.6770481562. The cubic root of 59300427 is about 389.9592922666.

The spelling of 59300427 in words is "fifty-nine million, three hundred thousand, four hundred twenty-seven".

Divisors: 1 3 31 67 93 201 307 921 961 2077 2883 6231 9517 20569 28551 61707 64387 193161 295027 637639 885081 1912917 19766809 59300427