Search a number
-
+
93048 = 2333877
BaseRepresentation
bin10110101101111000
311201122020
4112231320
510434143
61554440
7535164
oct265570
9151566
1093048
11639aa
1245a20
1333477
1425ca4
151c883
hex16b78

93048 has 16 divisors (see below), whose sum is σ = 232680. Its totient is φ = 31008.

The previous prime is 93047. The next prime is 93053. The reversal of 93048 is 84039.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3877 = 93048 / (9 + 3 + 0 + 4 + 8).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93047) 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, 1915 + ... + 1962.

293048 is an apocalyptic number.

It is an amenable number.

93048 is an abundant number, since it is smaller than the sum of its proper divisors (139632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116340).

93048 is a wasteful number, since it uses less digits than its factorization.

93048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 93048 is about 305.0377025877. The cubic root of 93048 is about 45.3143422953.

Subtracting from 93048 its reverse (84039), we obtain a palindrome (9009).

The spelling of 93048 in words is "ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 3877 7754 11631 15508 23262 31016 46524 93048