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93031 = 313001
BaseRepresentation
bin10110101101100111
311201121121
4112231213
510434111
61554411
7535141
oct265547
9151547
1093031
1163994
1245a07
1333463
1425c91
151c871
hex16b67

93031 has 4 divisors (see below), whose sum is σ = 96064. Its totient is φ = 90000.

The previous prime is 93001. The next prime is 93047. The reversal of 93031 is 13039.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a 4-Lehmer number, since φ(93031) divides (93031-1)4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93031 is a prime.

It is a super-2 number, since 2×930312 = 17309533922, which contains 22 as substring.

It is a Duffinian number.

93031 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 92996 and 93014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1470 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (24016).

293031 is an apocalyptic number.

93031 is a deficient number, since it is larger than the sum of its proper divisors (3033).

93031 is a wasteful number, since it uses less digits than its factorization.

93031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 93031 is about 305.0098359070. The cubic root of 93031 is about 45.3115824626.

It can be divided in two parts, 930 and 31, that added together give a square (961 = 312).

The spelling of 93031 in words is "ninety-three thousand, thirty-one".

Divisors: 1 31 3001 93031