Search a number
-
+
5219947800 = 2334522941271
BaseRepresentation
bin1001101110010001…
…00001010100011000
3111110210020211020000
410313020201110120
541142301312200
62221545333000
7243232552464
oct46710412430
914423224200
105219947800
112239585051
121018197160
136525ab612
143773974a4
15208401300
hex137221518

5219947800 has 480 divisors, whose sum is σ = 19283140800. Its totient is φ = 1306368000.

The previous prime is 5219947787. The next prime is 5219947849. The reversal of 5219947800 is 87499125.

5219947800 is a `hidden beast` number, since 521 + 9 + 9 + 47 + 80 + 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 119 ways as a sum of consecutive naturals, for example, 19261665 + ... + 19261935.

It is an arithmetic number, because the mean of its divisors is an integer number (40173210).

Almost surely, 25219947800 is an apocalyptic number.

5219947800 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 5219947800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641570400).

5219947800 is an abundant number, since it is smaller than the sum of its proper divisors (14063193000).

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

5219947800 is a wasteful number, since it uses less digits than its factorization.

5219947800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5219947800 is about 72249.2062240133. The cubic root of 5219947800 is about 1734.6907127237.

It can be divided in two parts, 52199 and 47800, that added together give a palindrome (99999).

The spelling of 5219947800 in words is "five billion, two hundred nineteen million, nine hundred forty-seven thousand, eight hundred".