Search a number
-
+
52474910400 = 2634521136809
BaseRepresentation
bin110000110111101111…
…111001011011000000
312000110001210122110000
4300313233321123000
51324432034113100
640035011240000
73535243243653
oct606757713300
9160401718400
1052474910400
112028879a950
12a2058a9000
134c43726253
14277b2cd89a
151571cb6900
hexc37bf96c0

52474910400 has 420 divisors, whose sum is σ = 210425248440. Its totient is φ = 12720844800.

The previous prime is 52474910393. The next prime is 52474910437. The reversal of 52474910400 is 401947425.

It is a happy number.

52474910400 is a `hidden beast` number, since 5 + 247 + 4 + 9 + 1 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1407196 + ... + 1444004.

Almost surely, 252474910400 is an apocalyptic number.

52474910400 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 52474910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105212624220).

52474910400 is an abundant number, since it is smaller than the sum of its proper divisors (157950338040).

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

52474910400 is a wasteful number, since it uses less digits than its factorization.

52474910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36854 (or 36830 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52474910400 in words is "fifty-two billion, four hundred seventy-four million, nine hundred ten thousand, four hundred".