Search a number
-
+
52853270400 = 2732527409641
BaseRepresentation
bin110001001110010011…
…001110011110000000
312001102102202022210100
4301032103032132000
51331220414123100
640140325002400
73550516246230
oct611623163600
9161372668710
1052853270400
1120462325367
12a2b0553400
134ca3c2bac8
1427b565dcc0
151595103400
hexc4e4ce780

52853270400 has 576 divisors, whose sum is σ = 216398426400. Its totient is φ = 12032409600.

The previous prime is 52853270339. The next prime is 52853270411. The reversal of 52853270400 is 407235825.

52853270400 is a `hidden beast` number, since 52 + 8 + 532 + 70 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82454080 + ... + 82454720.

Almost surely, 252853270400 is an apocalyptic number.

52853270400 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 52853270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108199213200).

52853270400 is an abundant number, since it is smaller than the sum of its proper divisors (163545156000).

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

52853270400 is a wasteful number, since it uses less digits than its factorization.

52853270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 52853270400 in words is "fifty-two billion, eight hundred fifty-three million, two hundred seventy thousand, four hundred".