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2400203493 = 32718094643
BaseRepresentation
bin1000111100010000…
…0011001011100101
320012021101222012200
42033010003023211
514403423002433
61034100405113
7113323251552
oct21704031345
96167358180
102400203493
111021941456
1256b9a6799
132c335a46c
1418aab3a29
15e0ab6613
hex8f1032e5

2400203493 has 24 divisors (see below), whose sum is σ = 3520895040. Its totient is φ = 1575309120.

The previous prime is 2400203471. The next prime is 2400203513. The reversal of 2400203493 is 3943020042.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2400203493 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400203413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514630 + ... + 519272.

It is an arithmetic number, because the mean of its divisors is an integer number (146703960).

Almost surely, 22400203493 is an apocalyptic number.

It is an amenable number.

2400203493 is a deficient number, since it is larger than the sum of its proper divisors (1120691547).

2400203493 is a wasteful number, since it uses less digits than its factorization.

2400203493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2400203493 is about 48991.8717033754. The cubic root of 2400203493 is about 1338.9037393503.

The spelling of 2400203493 in words is "two billion, four hundred million, two hundred three thousand, four hundred ninety-three".

Divisors: 1 3 9 71 213 639 809 2427 4643 7281 13929 41787 57439 172317 329653 516951 988959 2966877 3756187 11268561 33805683 266689277 800067831 2400203493