Search a number
-
+
52820948880 = 243757174359
BaseRepresentation
bin110001001100010111…
…111011011110010000
312001100011221020000000
4301030113323132100
51331134130331010
640133212130000
73546644441340
oct611427733620
9161304836000
1052820948880
1120446059767
12a2a1766900
134c9a32324b
1427b1248d20
15159236b7c0
hexc4c5fb790

52820948880 has 1280 divisors, whose sum is σ = 231928012800. Its totient is φ = 10910785536.

The previous prime is 52820948861. The next prime is 52820948891. The reversal of 52820948880 is 8884902825.

It is a happy number.

52820948880 is a `hidden beast` number, since 5 + 2 + 82 + 0 + 9 + 488 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 895270291 + ... + 895270349.

It is an arithmetic number, because the mean of its divisors is an integer number (181193760).

Almost surely, 252820948880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52820948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115964006400).

52820948880 is an abundant number, since it is smaller than the sum of its proper divisors (179107063920).

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

52820948880 is a wasteful number, since it uses less digits than its factorization.

52820948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 52820948880 in words is "fifty-two billion, eight hundred twenty million, nine hundred forty-eight thousand, eight hundred eighty".