Search a number
-
+
5515309800 = 233252711133061
BaseRepresentation
bin1010010001011110…
…01111001011101000
3112020101000202201100
411020233033023220
542243404403200
62311140121400
7253450234260
oct51057171350
915211022640
105515309800
112380280980
12109b096260
1369b844330
143a46c07a0
152242e5d00
hex148bcf2e8

5515309800 has 576 divisors, whose sum is σ = 24877157760. Its totient is φ = 1057536000.

The previous prime is 5515309783. The next prime is 5515309801. The reversal of 5515309800 is 89035155.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5515309801) 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 143 ways as a sum of consecutive naturals, for example, 1800270 + ... + 1803330.

It is an arithmetic number, because the mean of its divisors is an integer number (43189510).

Almost surely, 25515309800 is an apocalyptic number.

5515309800 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 5515309800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12438578880).

5515309800 is an abundant number, since it is smaller than the sum of its proper divisors (19361847960).

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

5515309800 is a wasteful number, since it uses less digits than its factorization.

5515309800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5515309800 is about 74265.1317914403. The cubic root of 5515309800 is about 1766.8104965769.

The spelling of 5515309800 in words is "five billion, five hundred fifteen million, three hundred nine thousand, eight hundred".