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286013025 = 3452141241
BaseRepresentation
bin10001000011000…
…011011001100001
3201221011222010000
4101003003121201
51041204404100
644214130213
710042033134
oct2103033141
9657158100
10286013025
111374a0901
127b950969
134734159c
1429db221b
151a199900
hex110c3661

286013025 has 30 divisors (see below), whose sum is σ = 529798742. Its totient is φ = 152539200.

The previous prime is 286012999. The next prime is 286013029. The reversal of 286013025 is 520310682.

286013025 is a `hidden beast` number, since 2 + 8 + 601 + 30 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61732449 + 224280576 = 7857^2 + 14976^2 .

It is not a de Polignac number, because 286013025 - 27 = 286012897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 286013025.

It is not an unprimeable number, because it can be changed into a prime (286013029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 68596 + ... + 72645.

Almost surely, 2286013025 is an apocalyptic number.

286013025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

286013025 is a deficient number, since it is larger than the sum of its proper divisors (243785717).

286013025 is a wasteful number, since it uses less digits than its factorization.

286013025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141263 (or 141249 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 286013025 is about 16911.9196131013. The cubic root of 286013025 is about 658.8632291230.

It can be divided in two parts, 28601 and 3025, that added together give a triangular number (31626 = T251).

The spelling of 286013025 in words is "two hundred eighty-six million, thirteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 141241 423723 706205 1271169 2118615 3531025 3813507 6355845 10593075 11440521 19067535 31779225 57202605 95337675 286013025