Search a number
-
+
284796 = 2235293
BaseRepresentation
bin1000101100001111100
3112110200000
41011201330
533103141
610034300
72264211
oct1054174
9473600
10284796
11184a76
12118990
139c825
1475b08
15595b6
hex4587c

284796 has 36 divisors (see below), whose sum is σ = 749112. Its totient is φ = 94608.

The previous prime is 284783. The next prime is 284803. The reversal of 284796 is 697482.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2847962 = 162217523232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 284796.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284796.

It is an unprimeable number.

284796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826 + ... + 1118.

2284796 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 284796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374556).

284796 is an abundant number, since it is smaller than the sum of its proper divisors (464316).

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

284796 is a wasteful number, since it uses less digits than its factorization.

284796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 284796 is about 533.6628148934. The cubic root of 284796 is about 65.7927382408.

Subtracting 284796 from its reverse (697482), we obtain a triangular number (412686 = T908).

The spelling of 284796 in words is "two hundred eighty-four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 293 324 486 586 879 972 1172 1758 2637 3516 5274 7911 10548 15822 23733 31644 47466 71199 94932 142398 284796