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286431028 = 2213172911173
BaseRepresentation
bin10001000100101…
…001011100110100
3201221222012111121
4101010221130310
51041311243103
644231113324
710045423612
oct2104513464
9657865447
10286431028
11137756964
127bb12844
1347459920
142a0806b2
151a22d6bd
hex11129734

286431028 has 48 divisors (see below), whose sum is σ = 591328080. Its totient is φ = 120121344.

The previous prime is 286431007. The next prime is 286431031. The reversal of 286431028 is 820134682.

It can be written as a sum of positive squares in 8 ways, for example, as 753424 + 285677604 = 868^2 + 16902^2 .

It is a super-2 number, since 2×2864310282 = 164085467602273568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 286430984 and 286431002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20050 + ... + 31222.

It is an arithmetic number, because the mean of its divisors is an integer number (12319335).

Almost surely, 2286431028 is an apocalyptic number.

It is an amenable number.

286431028 is an abundant number, since it is smaller than the sum of its proper divisors (304897052).

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

286431028 is a wasteful number, since it uses less digits than its factorization.

286431028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11236 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 286431028 is about 16924.2733374287. The cubic root of 286431028 is about 659.1840452208.

The spelling of 286431028 in words is "two hundred eighty-six million, four hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 4 13 17 26 29 34 52 58 68 116 221 377 442 493 754 884 986 1508 1972 6409 11173 12818 22346 25636 44692 145249 189941 290498 324017 379882 580996 648034 759764 1296068 2469233 4212221 4938466 5508289 8424442 9876932 11016578 16848884 22033156 71607757 143215514 286431028