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4836768040 = 235139301477
BaseRepresentation
bin1001000000100101…
…10011100100101000
3110111002020021102001
410200102303210220
534401203034130
62115540420344
7230600564356
oct44022634450
913432207361
104836768040
112062258465
12b2b9a76b4
135c10a9030
1433c5307d6
151d49616ca
hex1204b3928

4836768040 has 32 divisors (see below), whose sum is σ = 11719862280. Its totient is φ = 1785883392.

The previous prime is 4836768037. The next prime is 4836768043. The reversal of 4836768040 is 408676384.

It is an interprime number because it is at equal distance from previous prime (4836768037) and next prime (4836768043).

It can be written as a sum of positive squares in 4 ways, for example, as 2348953156 + 2487814884 = 48466^2 + 49878^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4836768043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4650219 + ... + 4651258.

Almost surely, 24836768040 is an apocalyptic number.

4836768040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4836768040 is an abundant number, since it is smaller than the sum of its proper divisors (6883094240).

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

4836768040 is a wasteful number, since it uses less digits than its factorization.

4836768040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9301501 (or 9301497 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 4836768040 is about 69546.8765653785. The cubic root of 4836768040 is about 1691.1615137686.

The spelling of 4836768040 in words is "four billion, eight hundred thirty-six million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 9301477 18602954 37205908 46507385 74411816 93014770 120919201 186029540 241838402 372059080 483676804 604596005 967353608 1209192010 2418384020 4836768040