Search a number
-
+
248256696 = 23315796551
BaseRepresentation
bin11101100110000…
…01100010111000
3122022010202011110
432303001202320
51002023203241
640345000320
76103101312
oct1663014270
9568122143
10248256696
11118152a26
126b1830a0
133c58206c
1424d847b2
1516bdc816
hexecc18b8

248256696 has 32 divisors (see below), whose sum is σ = 621129600. Its totient is φ = 82687200.

The previous prime is 248256667. The next prime is 248256703. The reversal of 248256696 is 696652842.

It is a happy number.

248256696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 34621 + ... + 41171.

It is an arithmetic number, because the mean of its divisors is an integer number (19410300).

Almost surely, 2248256696 is an apocalyptic number.

It is an amenable number.

248256696 is an abundant number, since it is smaller than the sum of its proper divisors (372872904).

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

248256696 is a wasteful number, since it uses less digits than its factorization.

248256696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8135 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 248256696 is about 15756.1637462931. The cubic root of 248256696 is about 628.4928245077.

The spelling of 248256696 in words is "two hundred forty-eight million, two hundred fifty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 1579 3158 4737 6316 6551 9474 12632 13102 18948 19653 26204 37896 39306 52408 78612 157224 10344029 20688058 31032087 41376116 62064174 82752232 124128348 248256696