Search a number
-
+
5404732200 = 233252731101137
BaseRepresentation
bin1010000100010010…
…11010101100101000
3111221122221211202200
411002021122230220
542032102412300
62252150100200
7250635315510
oct50211325450
914848854680
105404732200
11232391532a
12106a04a660
136819690ba
14393b38840
15219752200
hex14225ab28

5404732200 has 576 divisors, whose sum is σ = 21782891520. Its totient is φ = 1175040000.

The previous prime is 5404732199. The next prime is 5404732243. The reversal of 5404732200 is 22374045.

It is a super-2 number, since 2×54047322002 = 58422260307433680000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 39450532 + ... + 39450668.

It is an arithmetic number, because the mean of its divisors is an integer number (37817520).

Almost surely, 25404732200 is an apocalyptic number.

5404732200 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 5404732200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10891445760).

5404732200 is an abundant number, since it is smaller than the sum of its proper divisors (16378159320).

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

5404732200 is a wasteful number, since it uses less digits than its factorization.

5404732200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5404732200 is about 73516.8837750894. The cubic root of 5404732200 is about 1754.9229761409.

The spelling of 5404732200 in words is "five billion, four hundred four million, seven hundred thirty-two thousand, two hundred".