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200352042 = 2351123407
BaseRepresentation
bin10111111000100…
…10000100101010
3111221222221100000
423330102010222
5402242231132
631514123430
74651651512
oct1374220452
9457887300
10200352042
11a3103500
1257120576
133267b607
141c874842
15128c887c
hexbf1212a

200352042 has 72 divisors (see below), whose sum is σ = 494964288. Its totient is φ = 60694920.

The previous prime is 200352041. The next prime is 200352067. The reversal of 200352042 is 240253002.

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

It is not an unprimeable number, because it can be changed into a prime (200352041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57103 + ... + 60509.

It is an arithmetic number, because the mean of its divisors is an integer number (6874504).

Almost surely, 2200352042 is an apocalyptic number.

200352042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200352042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247482144).

200352042 is an abundant number, since it is smaller than the sum of its proper divisors (294612246).

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

200352042 is a wasteful number, since it uses less digits than its factorization.

200352042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 200352042 is about 14154.5767156775. The cubic root of 200352042 is about 585.1464721990.

It can be divided in two parts, 2003 and 52042, that added together give a palindrome (54045).

The spelling of 200352042 in words is "two hundred million, three hundred fifty-two thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1089 1782 2178 2673 3267 3407 5346 6534 6814 9801 10221 19602 20442 29403 30663 37477 58806 61326 74954 91989 112431 183978 224862 275967 337293 412247 551934 674586 824494 827901 1011879 1236741 1655802 2023758 2473482 3035637 3710223 6071274 7420446 9106911 11130669 18213822 22261338 33392007 66784014 100176021 200352042