Search a number
-
+
248981820 = 223529143093
BaseRepresentation
bin11101101011100…
…10100100111100
3122100111120211220
432311302210330
51002214404240
640412313340
76112211343
oct1665624474
9570446756
10248981820
111185a87aa
126b472850
133c777129
14250d2b5a
1516cd25d0
hexed7293c

248981820 has 48 divisors (see below), whose sum is σ = 721193760. Its totient is φ = 64105216.

The previous prime is 248981783. The next prime is 248981839. The reversal of 248981820 is 28189842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69807 + ... + 73286.

It is an arithmetic number, because the mean of its divisors is an integer number (15024870).

Almost surely, 2248981820 is an apocalyptic number.

248981820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248981820 is an abundant number, since it is smaller than the sum of its proper divisors (472211940).

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

248981820 is a wasteful number, since it uses less digits than its factorization.

248981820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143134 (or 143132 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 248981820 is about 15779.1577722006. The cubic root of 248981820 is about 629.1041436830.

The spelling of 248981820 in words is "two hundred forty-eight million, nine hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 143093 286186 429279 572372 715465 858558 1430930 1717116 2146395 2861860 4149697 4292790 8299394 8585580 12449091 16598788 20748485 24898182 41496970 49796364 62245455 82993940 124490910 248981820