Search a number
-
+
249495560 = 23523112699
BaseRepresentation
bin11101101111100…
…00000000001000
3122101110200120022
432313300000020
51002332324220
640431320012
76116451206
oct1667600010
9571420508
10249495560
11118919786
126b680008
133c8c6c12
14251c8076
1516d84925
hexedf0008

249495560 has 32 divisors (see below), whose sum is σ = 561816000. Its totient is φ = 99718080.

The previous prime is 249495557. The next prime is 249495637. The reversal of 249495560 is 65594942.

249495560 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 (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 91091 + ... + 93789.

It is an arithmetic number, because the mean of its divisors is an integer number (17556750).

Almost surely, 2249495560 is an apocalyptic number.

249495560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249495560 is an abundant number, since it is smaller than the sum of its proper divisors (312320440).

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

249495560 is a wasteful number, since it uses less digits than its factorization.

249495560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The square root of 249495560 is about 15795.4284525618. The cubic root of 249495560 is about 629.5365366009.

The spelling of 249495560 in words is "two hundred forty-nine million, four hundred ninety-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2311 2699 4622 5398 9244 10796 11555 13495 18488 21592 23110 26990 46220 53980 92440 107960 6237389 12474778 24949556 31186945 49899112 62373890 124747780 249495560