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206899456 = 28292312
BaseRepresentation
bin11000101010100…
…00100100000000
3112102022120200211
430111100210000
5410431240311
632310323504
75061421261
oct1425204400
9472276624
10206899456
11a6875695
1259359594
1333b3181a
141d69a968
151326d821
hexc550900

206899456 has 81 divisors (see below), whose sum is σ = 441965433. Its totient is φ = 96660480.

The previous prime is 206899453. The next prime is 206899481. The reversal of 206899456 is 654998602.

The square root of 206899456 is 14384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 98406400 = 10416^2 + 9920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206899453) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6674161 + ... + 6674191.

Almost surely, 2206899456 is an apocalyptic number.

206899456 is the 14384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206899456

206899456 is an abundant number, since it is smaller than the sum of its proper divisors (235065977).

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

206899456 is an frugal number, since it uses more digits than its factorization.

206899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The cubic root of 206899456 is about 591.4523789049.

Multiplying 206899456 by its sum of digits (49), we get a square (10138073344 = 1006882).

The spelling of 206899456 in words is "two hundred six million, eight hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 464 496 841 899 928 961 992 1682 1798 1856 1922 1984 3364 3596 3712 3844 3968 6728 7192 7424 7688 7936 13456 14384 15376 26071 26912 27869 28768 30752 52142 53824 55738 57536 61504 104284 107648 111476 115072 123008 208568 215296 222952 230144 246016 417136 445904 808201 834272 891808 1616402 1668544 1783616 3232804 3337088 3567232 6465608 6674176 7134464 12931216 25862432 51724864 103449728 206899456