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286630407 = 387792
BaseRepresentation
bin10001000101011…
…010001000000111
3201222100100000000
4101011122020013
51041334133112
644235252343
710050214110
oct2105321007
9658310000
10286630407
11137882738
127bbaa0b3
13474c95bb
142a0d3207
151a26c7dc
hex1115a207

286630407 has 54 divisors (see below), whose sum is σ = 497639688. Its totient is φ = 161715528.

The previous prime is 286630391. The next prime is 286630411. The reversal of 286630407 is 704036682.

It is not a de Polignac number, because 286630407 - 24 = 286630391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286630417) 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 53 ways as a sum of consecutive naturals, for example, 3628194 + ... + 3628272.

Almost surely, 2286630407 is an apocalyptic number.

286630407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

286630407 is a deficient number, since it is larger than the sum of its proper divisors (211009281).

286630407 is an frugal number, since it uses more digits than its factorization.

286630407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 286630407 is about 16930.1626395023. The cubic root of 286630407 is about 659.3369580922.

The spelling of 286630407 in words is "two hundred eighty-six million, six hundred thirty thousand, four hundred seven".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 243 553 567 711 729 1659 1701 2133 2187 4977 5103 6241 6399 6561 14931 15309 18723 19197 43687 44793 45927 56169 57591 131061 134379 168507 172773 393183 403137 505521 518319 1179549 1209411 1516563 3538647 3628233 4549689 10615941 13649067 31847823 40947201 95543469 286630407