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196285284 = 2232131972129
BaseRepresentation
bin10111011001100…
…01001101100100
3111200100022210100
423230301031210
5400222112114
631251024100
74602253206
oct1354611544
9450308710
10196285284
11a0886048
125589b030
1331886550
141c0d6776
1512373909
hexbb31364

196285284 has 72 divisors (see below), whose sum is σ = 537296760. Its totient is φ = 60060672.

The previous prime is 196285283. The next prime is 196285303. The reversal of 196285284 is 482582691.

196285284 is a `hidden beast` number, since 1 + 96 + 285 + 284 = 666.

196285284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28323684 + 167961600 = 5322^2 + 12960^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (196285283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91132 + ... + 93260.

It is an arithmetic number, because the mean of its divisors is an integer number (7462455).

Almost surely, 2196285284 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 196285284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268648380).

196285284 is an abundant number, since it is smaller than the sum of its proper divisors (341011476).

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

196285284 is a wasteful number, since it uses less digits than its factorization.

196285284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2344 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 196285284 is about 14010.1850094851. The cubic root of 196285284 is about 581.1602655785.

The spelling of 196285284 in words is "one hundred ninety-six million, two hundred eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1773 2129 2364 2561 3546 4258 5122 6387 7092 7683 8516 10244 12774 15366 19161 23049 25548 27677 30732 38322 46098 55354 76644 83031 92196 110708 166062 249093 332124 419413 498186 838826 996372 1258239 1677652 2516478 3774717 5032956 5452369 7549434 10904738 15098868 16357107 21809476 32714214 49071321 65428428 98142642 196285284