Search a number
-
+
248305816 = 23113776261
BaseRepresentation
bin11101100110011…
…01100010011000
3122022020020112201
432303031202120
51002031241231
640350015544
76103364443
oct1663154230
9568206481
10248305816
11118186920
126b1a75b4
133c59b525
1424d9865a
1516bec161
hexeccd898

248305816 has 32 divisors (see below), whose sum is σ = 521632080. Its totient is φ = 109814400.

The previous prime is 248305793. The next prime is 248305823. The reversal of 248305816 is 618503842.

It is a happy number.

248305816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34875 + ... + 41386.

Almost surely, 2248305816 is an apocalyptic number.

It is an amenable number.

248305816 is an abundant number, since it is smaller than the sum of its proper divisors (273326264).

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

248305816 is a wasteful number, since it uses less digits than its factorization.

248305816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76315 (or 76311 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 248305816 is about 15757.7224242592. The cubic root of 248305816 is about 628.5342729119.

The spelling of 248305816 in words is "two hundred forty-eight million, three hundred five thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 76261 152522 305044 610088 838871 1677742 2821657 3355484 5643314 6710968 11286628 22573256 31038227 62076454 124152908 248305816