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55248313 = 5310110321
BaseRepresentation
bin1101001011000…
…0010110111001
310211221220102211
43102300112321
5103120421223
65252055121
71240413541
oct322602671
9124856384
1055248313
112920596a
12166044a1
13b5a5213
1474a2321
154cb4d0d
hex34b05b9

55248313 has 8 divisors (see below), whose sum is σ = 56853576. Its totient is φ = 53664000.

The previous prime is 55248307. The next prime is 55248329. The reversal of 55248313 is 31384255.

55248313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30118144 + 25130169 = 5488^2 + 5013^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55248313 - 213 = 55240121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55240313) 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 7 ways as a sum of consecutive naturals, for example, 193 + ... + 10513.

It is an arithmetic number, because the mean of its divisors is an integer number (7106697).

Almost surely, 255248313 is an apocalyptic number.

55248313 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

55248313 is a deficient number, since it is larger than the sum of its proper divisors (1605263).

55248313 is a wasteful number, since it uses less digits than its factorization.

55248313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10475.

The product of its digits is 14400, while the sum is 31.

The square root of 55248313 is about 7432.9208928926. The cubic root of 55248313 is about 380.8667036225.

The spelling of 55248313 in words is "fifty-five million, two hundred forty-eight thousand, three hundred thirteen".

Divisors: 1 53 101 5353 10321 547013 1042421 55248313