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93049 = 112769
BaseRepresentation
bin10110101101111001
311201122021
4112231321
510434144
61554441
7535165
oct265571
9151567
1093049
1163a00
1245a21
1333478
1425ca5
151c884
hex16b79

93049 has 6 divisors (see below), whose sum is σ = 102410. Its totient is φ = 84480.

The previous prime is 93047. The next prime is 93053. The reversal of 93049 is 94039.

It can be written as a sum of positive squares in only one way, i.e., 75625 + 17424 = 275^2 + 132^2 .

It is not a de Polignac number, because 93049 - 21 = 93047 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (93047) 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 5 ways as a sum of consecutive naturals, for example, 264 + ... + 505.

293049 is an apocalyptic number.

It is an amenable number.

93049 is a deficient number, since it is larger than the sum of its proper divisors (9361).

93049 is a wasteful number, since it uses less digits than its factorization.

93049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 93049 is about 305.0393417250. The cubic root of 93049 is about 45.3145046279.

Subtracting 93049 from its reverse (94039), we obtain a triangular number (990 = T44).

It can be divided in two parts, 930 and 49, that added together give a palindrome (979).

The spelling of 93049 in words is "ninety-three thousand, forty-nine".

Divisors: 1 11 121 769 8459 93049