Search a number
-
+
285671232 = 263371119113
BaseRepresentation
bin10001000001101…
…111111101000000
3201220112121021000
4101001233331000
51041112434412
644202532000
710036110510
oct2101577500
9656477230
10285671232
11137288030
127b807000
1347251b42
1429d23840
151a12d4dc
hex1106ff40

285671232 has 448 divisors, whose sum is σ = 1111910400. Its totient is φ = 69672960.

The previous prime is 285671161. The next prime is 285671249. The reversal of 285671232 is 232176582.

285671232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2528008 + ... + 2528120.

Almost surely, 2285671232 is an apocalyptic number.

285671232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555955200).

285671232 is an abundant number, since it is smaller than the sum of its proper divisors (826239168).

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

285671232 is a wasteful number, since it uses less digits than its factorization.

285671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 285671232 is about 16901.8115005463. The cubic root of 285671232 is about 658.6006716120.

It can be divided in two parts, 2856 and 71232, that added together give a cube (74088 = 423).

The spelling of 285671232 in words is "two hundred eighty-five million, six hundred seventy-one thousand, two hundred thirty-two".