Search a number
-
+
248086460 = 225112910987
BaseRepresentation
bin11101100100101…
…11111110111100
3122021211002122102
432302113332330
51002002231320
640341204232
76101462066
oct1662277674
9567732572
10248086460
11118047036
126b100678
133c52272b
1424d3c736
1516ba7175
hexec97fbc

248086460 has 24 divisors (see below), whose sum is σ = 521490480. Its totient is φ = 99137664.

The previous prime is 248086429. The next prime is 248086471. The reversal of 248086460 is 64680842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17087 + ... + 28073.

It is an arithmetic number, because the mean of its divisors is an integer number (21728770).

Almost surely, 2248086460 is an apocalyptic number.

248086460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248086460 is an abundant number, since it is smaller than the sum of its proper divisors (273404020).

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

248086460 is a wasteful number, since it uses less digits than its factorization.

248086460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 248086460 is about 15750.7606165544. The cubic root of 248086460 is about 628.3491337617.

The spelling of 248086460 in words is "two hundred forty-eight million, eighty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1129 2258 4516 5645 10987 11290 21974 22580 43948 54935 109870 219740 12404323 24808646 49617292 62021615 124043230 248086460