Search a number
-
+
248672960 = 265777103
BaseRepresentation
bin11101101001001…
…11001011000000
3122022220220011122
432310213023000
51002130013320
640401531412
76106454024
oct1664471300
9568826148
10248672960
11118407748
126b343b68
133c699683
1425052384
1516c70d25
hexed272c0

248672960 has 28 divisors (see below), whose sum is σ = 592153248. Its totient is φ = 99469056.

The previous prime is 248672959. The next prime is 248672981. The reversal of 248672960 is 69276842.

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 3 ways as a sum of consecutive naturals, for example, 388232 + ... + 388871.

Almost surely, 2248672960 is an apocalyptic number.

248672960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248672960 is an abundant number, since it is smaller than the sum of its proper divisors (343480288).

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

248672960 is an equidigital number, since it uses as much as digits as its factorization.

248672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777120 (or 777110 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 248672960 is about 15769.3677742641. The cubic root of 248672960 is about 628.8439031215.

The spelling of 248672960 in words is "two hundred forty-eight million, six hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 777103 1554206 3108412 3885515 6216824 7771030 12433648 15542060 24867296 31084120 49734592 62168240 124336480 248672960