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248684020 = 22513956477
BaseRepresentation
bin11101101001010…
…01110111110100
3122022221110100021
432310221313310
51002130342040
640402054524
76106531204
oct1664516764
9568843307
10248684020
11118414a92
126b34a444
133c6a1710
1425056404
1516c7424a
hexed29df4

248684020 has 24 divisors (see below), whose sum is σ = 562409064. Its totient is φ = 91821696.

The previous prime is 248684017. The next prime is 248684053. The reversal of 248684020 is 20486842.

It can be written as a sum of positive squares in 4 ways, for example, as 2696164 + 245987856 = 1642^2 + 15684^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477979 + ... + 478498.

It is an arithmetic number, because the mean of its divisors is an integer number (23433711).

Almost surely, 2248684020 is an apocalyptic number.

248684020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248684020 is an abundant number, since it is smaller than the sum of its proper divisors (313725044).

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

248684020 is a wasteful number, since it uses less digits than its factorization.

248684020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956499 (or 956497 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 248684020 is about 15769.7184502451. The cubic root of 248684020 is about 628.8532258219.

The spelling of 248684020 in words is "two hundred forty-eight million, six hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 956477 1912954 3825908 4782385 9564770 12434201 19129540 24868402 49736804 62171005 124342010 248684020