Search a number
-
+
53210304 = 263375383
BaseRepresentation
bin1100101011111…
…0110011000000
310201010100211000
43022332303000
5102110212204
65140252000
71214165040
oct312766300
9121110730
1053210304
1128043764
12159a1000
13b0406b4
1470d1720
154a11039
hex32becc0

53210304 has 224 divisors, whose sum is σ = 184343040. Its totient is φ = 14736384.

The previous prime is 53210299. The next prime is 53210309. The reversal of 53210304 is 40301235.

53210304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53210299) and next prime (53210309).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (53210309) 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 31 ways as a sum of consecutive naturals, for example, 641047 + ... + 641129.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 253210304 is an apocalyptic number.

53210304 is a gapful number since it is divisible by the number (54) 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 53210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

53210304 is an abundant number, since it is smaller than the sum of its proper divisors (131132736).

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

53210304 is a wasteful number, since it uses less digits than its factorization.

53210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53210304 is about 7294.5393274696. The cubic root of 53210304 is about 376.1247511204.

Adding to 53210304 its reverse (40301235), we get a palindrome (93511539).

The spelling of 53210304 in words is "fifty-three million, two hundred ten thousand, three hundred four".