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200426072 = 23721153877
BaseRepresentation
bin10111111001001…
…00001001011000
3111222010200212212
423330210021120
5402302113242
631515454252
74652410400
oct1374441130
9458120785
10200426072
11a3154090
1257157388
13326a6212
141c893800
15128e0782
hexbf24258

200426072 has 96 divisors (see below), whose sum is σ = 486447120. Its totient is φ = 76527360.

The previous prime is 200426069. The next prime is 200426101. The reversal of 200426072 is 270624002.

It is a super-2 number, since 2×2004260722 = 80341220674698368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 228098 + ... + 228974.

Almost surely, 2200426072 is an apocalyptic number.

200426072 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 200426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243223560).

200426072 is an abundant number, since it is smaller than the sum of its proper divisors (286021048).

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

200426072 is a wasteful number, since it uses less digits than its factorization.

200426072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 200426072 is about 14157.1915293959. The cubic root of 200426072 is about 585.2185337872.

The spelling of 200426072 in words is "two hundred million, four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 53 56 77 88 98 106 154 196 212 308 371 392 424 539 583 616 742 877 1078 1166 1484 1754 2156 2332 2597 2968 3508 4081 4312 4664 5194 6139 7016 8162 9647 10388 12278 16324 19294 20776 24556 28567 32648 38588 42973 46481 49112 57134 67529 77176 85946 92962 114268 135058 171892 185924 228536 270116 325367 343784 371848 472703 511291 540232 650734 945406 1022582 1301468 1890812 2045164 2277569 2602936 3579037 3781624 4090328 4555138 7158074 9110276 14316148 18220552 25053259 28632296 50106518 100213036 200426072