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5473868400 = 24325273111331
BaseRepresentation
bin1010001100100010…
…01001101001110000
3112010111001022210200
411012101021221300
542202302242100
62303055555200
7252435054000
oct50621115160
915114038720
105473868400
112359946390
12108922bb00
136930946b0
1439cdb4000
1522085be00
hex146449a70

5473868400 has 1440 divisors, whose sum is σ = 26864947200. Its totient is φ = 1016064000.

The previous prime is 5473868383. The next prime is 5473868473. The reversal of 5473868400 is 48683745.

5473868400 is a `hidden beast` number, since 547 + 3 + 8 + 68 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 176576385 + ... + 176576415.

Almost surely, 25473868400 is an apocalyptic number.

5473868400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5473868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432473600).

5473868400 is an abundant number, since it is smaller than the sum of its proper divisors (21391078800).

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

5473868400 is a wasteful number, since it uses less digits than its factorization.

5473868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5473868400 is about 73985.5958954174. The cubic root of 5473868400 is about 1762.3741633412.

The spelling of 5473868400 in words is "five billion, four hundred seventy-three million, eight hundred sixty-eight thousand, four hundred".