Search a number
-
+
52835417208 = 23337192936277
BaseRepresentation
bin110001001101001111…
…000111110001111000
312001101012011021211000
4301031033013301320
51331201331322313
640134450205000
73550211431140
oct611517076170
9161335137730
1052835417208
1120453240a62
12a2a6583760
134ca031a8a2
1427b3133920
151593778673
hexc4d3c7c78

52835417208 has 256 divisors, whose sum is σ = 177190272000. Its totient is φ = 14250235392.

The previous prime is 52835417179. The next prime is 52835417209. The reversal of 52835417208 is 80271453825.

52835417208 is a `hidden beast` number, since 5 + 2 + 83 + 541 + 7 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52835417209) 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 63 ways as a sum of consecutive naturals, for example, 8414166 + ... + 8420442.

It is an arithmetic number, because the mean of its divisors is an integer number (692149500).

Almost surely, 252835417208 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 52835417208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88595136000).

52835417208 is an abundant number, since it is smaller than the sum of its proper divisors (124354854792).

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

52835417208 is a wasteful number, since it uses less digits than its factorization.

52835417208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 52835417208 in words is "fifty-two billion, eight hundred thirty-five million, four hundred seventeen thousand, two hundred eight".