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542170200 = 2335211137189
BaseRepresentation
bin100000010100001…
…101110001011000
31101210012002200210
4200110031301120
52102243421300
6125444331120
716302241065
oct4024156130
91353162623
10542170200
1125904a550
121316a3aa0
138842b690
1452011c6c
15328e8050
hex2050dc58

542170200 has 384 divisors, whose sum is σ = 2024870400. Its totient is φ = 118272000.

The previous prime is 542170199. The next prime is 542170217. The reversal of 542170200 is 2071245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6091756 + ... + 6091844.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2542170200 is an apocalyptic number.

542170200 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 542170200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).

542170200 is an abundant number, since it is smaller than the sum of its proper divisors (1482700200).

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

542170200 is a wasteful number, since it uses less digits than its factorization.

542170200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 542170200 is about 23284.5485247191. The cubic root of 542170200 is about 815.4147211182.

The spelling of 542170200 in words is "five hundred forty-two million, one hundred seventy thousand, two hundred".