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5204040400 = 2452131000777
BaseRepresentation
bin1001101100010111…
…10101101011010000
3111102200022122101001
410312023311223100
541124213243100
62220220351344
7242650420306
oct46613655320
914380278331
105204040400
1122305aa639
1210129a5554
1364c1cbc60
14375216276
15206d0cd6a
hex1362f5ad0

5204040400 has 60 divisors (see below), whose sum is σ = 13464467212. Its totient is φ = 1921489920.

The previous prime is 5204040389. The next prime is 5204040403. The reversal of 5204040400 is 40404025.

It can be written as a sum of positive squares in 6 ways, for example, as 103795344 + 5100245056 = 10188^2 + 71416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204040403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 495189 + ... + 505588.

Almost surely, 25204040400 is an apocalyptic number.

5204040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5204040400 is an abundant number, since it is smaller than the sum of its proper divisors (8260426812).

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

5204040400 is a wasteful number, since it uses less digits than its factorization.

5204040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000808 (or 1000797 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 5204040400 is about 72139.0352028636. The cubic root of 5204040400 is about 1732.9268063721.

Adding to 5204040400 its reverse (40404025), we get a palindrome (5244444425).

The spelling of 5204040400 in words is "five billion, two hundred four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 1000777 2001554 4003108 5003885 8006216 10007770 13010101 16012432 20015540 25019425 26020202 40031080 50038850 52040404 65050505 80062160 100077700 104080808 130101010 200155400 208161616 260202020 325252525 400310800 520404040 650505050 1040808080 1301010100 2602020200 5204040400