Search a number
-
+
51713200 = 24527112373
BaseRepresentation
bin1100010101000…
…1010010110000
310121022022011201
43011101102300
5101214310300
65044220544
71165361230
oct305212260
9117268151
1051713200
1127210990
121539a754
13a938136
146c21cc0
15481766a
hex31514b0

51713200 has 240 divisors, whose sum is σ = 163846656. Its totient is φ = 15206400.

The previous prime is 51713173. The next prime is 51713209. The reversal of 51713200 is 231715.

It is not an unprimeable number, because it can be changed into a prime (51713209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708364 + ... + 708436.

Almost surely, 251713200 is an apocalyptic number.

51713200 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 51713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81923328).

51713200 is an abundant number, since it is smaller than the sum of its proper divisors (112133456).

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

51713200 is a wasteful number, since it uses less digits than its factorization.

51713200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 51713200 is about 7191.1890532790. The cubic root of 51713200 is about 372.5636424148.

Adding to 51713200 its reverse (231715), we get a palindrome (51944915).

The spelling of 51713200 in words is "fifty-one million, seven hundred thirteen thousand, two hundred".