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200535426 = 23471361223
BaseRepresentation
bin10111111001111…
…10110110000010
3111222100020220000
423330332312002
5402314113201
631522100430
74653344250
oct1374766602
9458306800
10200535426
11a3219263
12571aa716
1332713c20
141c8c15d0
1512912d86
hexbf3ed82

200535426 has 160 divisors (see below), whose sum is σ = 564630528. Its totient is φ = 51788160.

The previous prime is 200535409. The next prime is 200535427. The reversal of 200535426 is 624535002.

200535426 is a `hidden beast` number, since 200 + 5 + 35 + 426 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200535426.

It is not an unprimeable number, because it can be changed into a prime (200535427) 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 79 ways as a sum of consecutive naturals, for example, 899151 + ... + 899373.

Almost surely, 2200535426 is an apocalyptic number.

200535426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200535426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282315264).

200535426 is an abundant number, since it is smaller than the sum of its proper divisors (364095102).

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

200535426 is a wasteful number, since it uses less digits than its factorization.

200535426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 200535426 is about 14161.0531388029. The cubic root of 200535426 is about 585.3249476743.

The spelling of 200535426 in words is "two hundred million, five hundred thirty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 61 63 78 81 91 117 122 126 162 182 183 189 223 234 273 351 366 378 427 446 546 549 567 669 702 793 819 854 1053 1098 1134 1281 1338 1561 1586 1638 1647 2007 2106 2379 2457 2562 2899 3122 3294 3843 4014 4683 4758 4914 4941 5551 5798 6021 7137 7371 7686 8697 9366 9882 11102 11529 12042 13603 14049 14274 14742 16653 17394 18063 20293 21411 23058 26091 27206 28098 33306 34587 36126 40586 40809 42147 42822 49959 52182 60879 64233 69174 78273 81618 84294 95221 99918 121758 122427 126441 128466 149877 156546 176839 182637 190442 234819 244854 252882 285663 299754 353678 365274 367281 449631 469638 530517 547911 571326 734562 856989 899262 1061034 1095822 1101843 1237873 1591551 1643733 1713978 2203686 2475746 2570967 3183102 3287466 3713619 4774653 5141934 7427238 7712901 9549306 11140857 14323959 15425802 22281714 28647918 33422571 66845142 100267713 200535426