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248885640 = 23325691349
BaseRepresentation
bin11101101010110…
…11000110001000
3122100022200220200
432311123012020
51002203320030
640410252200
76111331053
oct1665330610
9570280820
10248885640
11118542513
126b427060
133c742413
14250a9a9a
1516cb3d60
hexed5b188

248885640 has 48 divisors (see below), whose sum is σ = 808879500. Its totient is φ = 66369408.

The previous prime is 248885561. The next prime is 248885641. The reversal of 248885640 is 46588842.

248885640 is a `hidden beast` number, since 2 + 4 + 8 + 88 + 564 + 0 = 666.

248885640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 248819076 + 66564 = 15774^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (248885641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345315 + ... + 346034.

Almost surely, 2248885640 is an apocalyptic number.

248885640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248885640 is an abundant number, since it is smaller than the sum of its proper divisors (559993860).

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

248885640 is a wasteful number, since it uses less digits than its factorization.

248885640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691366 (or 691359 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 248885640 is about 15776.1097866362. The cubic root of 248885640 is about 629.0231270189.

The spelling of 248885640 in words is "two hundred forty-eight million, eight hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 691349 1382698 2074047 2765396 3456745 4148094 5530792 6222141 6913490 8296188 10370235 12444282 13826980 16592376 20740470 24888564 27653960 31110705 41480940 49777128 62221410 82961880 124442820 248885640