Search a number
-
+
5500310400 = 273352135983
BaseRepresentation
bin1010001111101100…
…00001001110000000
3112012022210201102000
411013312001032000
542231034413100
62305442424000
7253205603244
oct50766011600
915168721360
105500310400
112372866682
121096062000
136986c2050
143a26d8424
15222d31900
hex147d81380

5500310400 has 768 divisors, whose sum is σ = 22311072000. Its totient is φ = 1314938880.

The previous prime is 5500310393. The next prime is 5500310401. The reversal of 5500310400 is 40130055.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5500310401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 66268759 + ... + 66268841.

It is an arithmetic number, because the mean of its divisors is an integer number (29050875).

Almost surely, 25500310400 is an apocalyptic number.

5500310400 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 5500310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155536000).

5500310400 is an abundant number, since it is smaller than the sum of its proper divisors (16810761600).

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

5500310400 is a wasteful number, since it uses less digits than its factorization.

5500310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5500310400 is about 74164.0775578042. The cubic root of 5500310400 is about 1765.2073737088.

Adding to 5500310400 its reverse (40130055), we get a palindrome (5540440455).

The spelling of 5500310400 in words is "five billion, five hundred million, three hundred ten thousand, four hundred".