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200450052 = 22341125113
BaseRepresentation
bin10111111001010…
…10000000000100
3111222011220210000
423330222000010
5402303400202
631520201300
74652540325
oct1374520004
9458156700
10200450052
11a3170100
1257169230
13326b40ca
141c89c44c
15128e791c
hexbf2a004

200450052 has 90 divisors (see below), whose sum is σ = 576097214. Its totient is φ = 60730560.

The previous prime is 200450039. The next prime is 200450071. The reversal of 200450052 is 250054002.

200450052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110124036 + 90326016 = 10494^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 36648 + ... + 41760.

Almost surely, 2200450052 is an apocalyptic number.

200450052 is a gapful number since it is divisible by the number (22) 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 200450052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288048607).

200450052 is an abundant number, since it is smaller than the sum of its proper divisors (375647162).

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

200450052 is a wasteful number, since it uses less digits than its factorization.

200450052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 200450052 is about 14158.0384234540. The cubic root of 200450052 is about 585.2418723690.

The spelling of 200450052 in words is "two hundred million, four hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 5113 6534 9801 10226 13068 15339 19602 20452 30678 39204 46017 56243 61356 92034 112486 138051 168729 184068 224972 276102 337458 414153 506187 552204 618673 674916 828306 1012374 1237346 1518561 1656612 1856019 2024748 2474692 3037122 3712038 4555683 5568057 6074244 7424076 9111366 11136114 16704171 18222732 22272228 33408342 50112513 66816684 100225026 200450052