Search a number
-
+
55331300 = 2252896217
BaseRepresentation
bin1101001100010…
…0100111100100
310212010010021102
43103010213210
5103131100200
65253535232
71241210513
oct323044744
9125103242
1055331300
1129262252
1216644518
13b603c1b
1474c467a
154cce6d5
hex34c49e4

55331300 has 36 divisors (see below), whose sum is σ = 121437540. Its totient is φ = 21880320.

The previous prime is 55331293. The next prime is 55331303. The reversal of 55331300 is 313355.

It can be written as a sum of positive squares in 6 ways, for example, as 1865956 + 53465344 = 1366^2 + 7312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (55331303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5792 + ... + 12008.

It is an arithmetic number, because the mean of its divisors is an integer number (3373265).

Almost surely, 255331300 is an apocalyptic number.

55331300 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 55331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60718770).

55331300 is an abundant number, since it is smaller than the sum of its proper divisors (66106240).

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

55331300 is a wasteful number, since it uses less digits than its factorization.

55331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 55331300 is about 7438.5011931168. The cubic root of 55331300 is about 381.0573047545.

Adding to 55331300 its reverse (313355), we get a palindrome (55644655).

The spelling of 55331300 in words is "fifty-five million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 6217 8900 12434 24868 31085 62170 124340 155425 310850 553313 621700 1106626 2213252 2766565 5533130 11066260 13832825 27665650 55331300