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5049475200 = 273452711223
BaseRepresentation
bin1001011001111100…
…01110000010000000
3111000220110220210000
410230332032002000
540320131201300
62153015440000
7236062555020
oct45476160200
914026426700
105049475200
11216132a500
12b8b086000
13626192163
1435c89da80
151e847ac00
hex12cf8e080

5049475200 has 1440 divisors, whose sum is σ = 24425311680. Its totient is φ = 1003622400.

The previous prime is 5049475163. The next prime is 5049475229. The reversal of 5049475200 is 25749405.

5049475200 is a `hidden beast` number, since 50 + 49 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 219542389 + ... + 219542411.

It is an arithmetic number, because the mean of its divisors is an integer number (16962022).

Almost surely, 25049475200 is an apocalyptic number.

5049475200 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 5049475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212655840).

5049475200 is an abundant number, since it is smaller than the sum of its proper divisors (19375836480).

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

5049475200 is a wasteful number, since it uses less digits than its factorization.

5049475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5049475200 is about 71059.6594419084. The cubic root of 5049475200 is about 1715.5975387524.

It can be divided in two parts, 5049 and 475200, that added together give a square (480249 = 6932).

The spelling of 5049475200 in words is "five billion, forty-nine million, four hundred seventy-five thousand, two hundred".