Search a number
-
+
52828724025 = 3252721121992
BaseRepresentation
bin110001001100110101…
…100101101100111001
312001100201120020111100
4301030311211230321
51331143123132100
640134050522013
73550100513400
oct611465455471
9161321506440
1052828724025
112044a48a300
12a2a4296309
134c9bb1621c
1427b22b0637
151592da5400
hexc4cd65b39

52828724025 has 243 divisors, whose sum is σ = 121597746543. Its totient is φ = 21844468800.

The previous prime is 52828723991. The next prime is 52828724027. The reversal of 52828724025 is 52042782825.

The square root of 52828724025 is 229845.

It is a perfect power (a square), and thus also a powerful number.

52828724025 is a `hidden beast` number, since 528 + 2 + 87 + 2 + 40 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19018340649 + 33810383376 = 137907^2 + 183876^2 .

It is not a de Polignac number, because 52828724025 - 29 = 52828723513 is a prime.

It is a super-2 number, since 2×528287240252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52828724027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 265470876 + ... + 265471074.

Almost surely, 252828724025 is an apocalyptic number.

52828724025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52828724025 is the 229845-th square number.

52828724025 is the 114923-rd centered octagonal number.

It is an amenable number.

52828724025 is an abundant number, since it is smaller than the sum of its proper divisors (68769022518).

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

52828724025 is a wasteful number, since it uses less digits than its factorization.

52828724025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 52828724025 in words is "fifty-two billion, eight hundred twenty-eight million, seven hundred twenty-four thousand, twenty-five".