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200696448 = 2732112477
BaseRepresentation
bin10111111011001…
…10001010000000
3111222122102202210
423331212022000
5402334241243
631525342120
74654614561
oct1375461200
9458572683
10200696448
11a3319237
1257267940
133276c2c4
141c924168
1512945933
hexbf66280

200696448 has 64 divisors (see below), whose sum is σ = 535842720. Its totient is φ = 66554880.

The previous prime is 200696429. The next prime is 200696471. The reversal of 200696448 is 844696002.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 79786 + ... + 82262.

Almost surely, 2200696448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200696448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267921360).

200696448 is an abundant number, since it is smaller than the sum of its proper divisors (335146272).

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

200696448 is a wasteful number, since it uses less digits than its factorization.

200696448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 200696448 is about 14166.7373802157. The cubic root of 200696448 is about 585.4815700069.

The spelling of 200696448 in words is "two hundred million, six hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 633 844 1266 1688 2477 2532 3376 4954 5064 6752 7431 9908 10128 13504 14862 19816 20256 27008 29724 39632 40512 59448 79264 81024 118896 158528 237792 317056 475584 522647 951168 1045294 1567941 2090588 3135882 4181176 6271764 8362352 12543528 16724704 25087056 33449408 50174112 66898816 100348224 200696448