Search a number
-
+
248563940 = 22512428197
BaseRepresentation
bin11101101000011…
…00100011100100
3122022201100121212
432310030203210
51002113021230
640355330552
76105521132
oct1664144344
9568640555
10248563940
11118342849
126b2b0a58
133c65bb71
1425024752
1516c4d895
hexed0c8e4

248563940 has 12 divisors (see below), whose sum is σ = 521984316. Its totient is φ = 99425568.

The previous prime is 248563933. The next prime is 248563949. The reversal of 248563940 is 49365842.

It can be written as a sum of positive squares in 2 ways, for example, as 176517796 + 72046144 = 13286^2 + 8488^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (248563949) by changing a digit.

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, 6214079 + ... + 6214118.

It is an arithmetic number, because the mean of its divisors is an integer number (43498693).

Almost surely, 2248563940 is an apocalyptic number.

248563940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248563940 is an abundant number, since it is smaller than the sum of its proper divisors (273420376).

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

248563940 is a wasteful number, since it uses less digits than its factorization.

248563940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12428206 (or 12428204 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 248563940 is about 15765.9106936453. The cubic root of 248563940 is about 628.7519931375.

The spelling of 248563940 in words is "two hundred forty-eight million, five hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 12428197 24856394 49712788 62140985 124281970 248563940