Search a number
-
+
4043968400 = 245210109921
BaseRepresentation
bin1111000100001010…
…0000111110010000
3101102211102212202102
43301002200332100
531240223442100
61505140135532
7202133110223
oct36102407620
911384385672
104043968400
11179579534a
1294a3975a8
134c5a77614
142a511b5ba
1518a05ccd5
hexf10a0f90

4043968400 has 30 divisors (see below), whose sum is σ = 9715635042. Its totient is φ = 1617587200.

The previous prime is 4043968393. The next prime is 4043968441. The reversal of 4043968400 is 48693404.

It can be written as a sum of positive squares in 3 ways, for example, as 22886656 + 4021081744 = 4784^2 + 63412^2 .

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 5 ways as a sum of consecutive naturals, for example, 5054561 + ... + 5055360.

Almost surely, 24043968400 is an apocalyptic number.

4043968400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4043968400 is an abundant number, since it is smaller than the sum of its proper divisors (5671666642).

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

4043968400 is a wasteful number, since it uses less digits than its factorization.

4043968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109939 (or 10109928 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 4043968400 is about 63592.2039246950. The cubic root of 4043968400 is about 1593.1961604490.

The spelling of 4043968400 in words is "four billion, forty-three million, nine hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 10109921 20219842 40439684 50549605 80879368 101099210 161758736 202198420 252748025 404396840 505496050 808793680 1010992100 2021984200 4043968400