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523993 = 3116903
BaseRepresentation
bin1111111111011011001
3222121210011
41333323121
5113231433
615121521
74311451
oct1777331
9877704
10523993
11328758
122132a1
13154672
14d8d61
15a53cd
hex7fed9

523993 has 4 divisors (see below), whose sum is σ = 540928. Its totient is φ = 507060.

The previous prime is 523987. The next prime is 523997. The reversal of 523993 is 399325.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-523993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 16903 = 523993 / (5 + 2 + 3 + 9 + 9 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523997) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8421 + ... + 8482.

It is an arithmetic number, because the mean of its divisors is an integer number (135232).

2523993 is an apocalyptic number.

It is an amenable number.

523993 is a deficient number, since it is larger than the sum of its proper divisors (16935).

523993 is a wasteful number, since it uses less digits than its factorization.

523993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16934.

The product of its digits is 7290, while the sum is 31.

The square root of 523993 is about 723.8736077521. The cubic root of 523993 is about 80.6198207918.

The spelling of 523993 in words is "five hundred twenty-three thousand, nine hundred ninety-three".

Divisors: 1 31 16903 523993