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286309996 = 22737436427
BaseRepresentation
bin10001000100001…
…011111001101100
3201221202001110221
4101010023321230
51041243404441
644224341124
710044411010
oct2104137154
9657661427
10286309996
11137683a35
127ba747a4
13474167cb
142a04c540
151a2078d1
hex1110be6c

286309996 has 48 divisors (see below), whose sum is σ = 601866496. Its totient is φ = 116593344.

The previous prime is 286309987. The next prime is 286309997. The reversal of 286309996 is 699903682.

It is a happy number.

It is a super-3 number, since 3×2863099963 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (286309997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41335 + ... + 47761.

Almost surely, 2286309996 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 286309996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300933248).

286309996 is an abundant number, since it is smaller than the sum of its proper divisors (315556500).

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

286309996 is a wasteful number, since it uses less digits than its factorization.

286309996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 286309996 is about 16920.6972669568. The cubic root of 286309996 is about 659.0911856308.

The spelling of 286309996 in words is "two hundred eighty-six million, three hundred nine thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 37 43 74 86 148 172 259 301 518 602 1036 1204 1591 3182 6364 6427 11137 12854 22274 25708 44548 44989 89978 179956 237799 276361 475598 552722 951196 1105444 1664593 1934527 3329186 3869054 6658372 7738108 10225357 20450714 40901428 71577499 143154998 286309996