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200608704 = 2633176829
BaseRepresentation
bin10111111010100…
…00101111000000
3111222110222102000
423331100233000
5402323434304
631523424000
74654101012
oct1375205700
9458428360
10200608704
11a326931a
1257225000
133273b39a
141c9001b2
1512929939
hexbf50bc0

200608704 has 112 divisors (see below), whose sum is σ = 624535200. Its totient is φ = 62926848.

The previous prime is 200608699. The next prime is 200608739. The reversal of 200608704 is 407806002.

200608704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25962 + ... + 32790.

Almost surely, 2200608704 is an apocalyptic number.

200608704 is a gapful number since it is divisible by the number (24) 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 200608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312267600).

200608704 is an abundant number, since it is smaller than the sum of its proper divisors (423926496).

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

200608704 is a wasteful number, since it uses less digits than its factorization.

200608704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 200608704 is about 14163.6402100590. The cubic root of 200608704 is about 585.3962338623.

The spelling of 200608704 in words is "two hundred million, six hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 6829 7344 9792 13658 14688 20487 27316 29376 40974 54632 61461 81948 109264 116093 122922 163896 184383 218528 232186 245844 327792 348279 368766 437056 464372 491688 655584 696558 737532 928744 983376 1044837 1311168 1393116 1475064 1857488 1966752 2089674 2786232 2950128 3134511 3714976 3933504 4179348 5572464 5900256 6269022 7429952 8358696 11144928 11800512 12538044 16717392 22289856 25076088 33434784 50152176 66869568 100304352 200608704