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200473056 = 2535729127
BaseRepresentation
bin10111111001011…
…11100111100000
3111222020002100000
423330233213200
5402310114211
631520500000
74652664360
oct1374574740
9458202300
10200473056
11a3186413
125717a600
13326c1714
141c8a69a0
15128ee656
hexbf2f9e0

200473056 has 288 divisors, whose sum is σ = 704471040. Its totient is φ = 54867456.

The previous prime is 200473051. The next prime is 200473069. The reversal of 200473056 is 650374002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200473051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578465 + ... + 1578591.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2200473056 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 200473056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

200473056 is an abundant number, since it is smaller than the sum of its proper divisors (503997984).

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

200473056 is a wasteful number, since it uses less digits than its factorization.

200473056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 200473056 is about 14158.8508008242. The cubic root of 200473056 is about 585.2642593076.

The spelling of 200473056 in words is "two hundred million, four hundred seventy-three thousand, fifty-six".