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285265368 = 233312710399
BaseRepresentation
bin10001000000001…
…100110111011000
3201212202222112000
4101000030313120
51041011442433
644150121000
710032500313
oct2100146730
9655688460
10285265368
11137030103
127b650160
134713c19b
1429c5997a
151a09d113
hex1100cdd8

285265368 has 64 divisors (see below), whose sum is σ = 798720000. Its totient is φ = 94330656.

The previous prime is 285265367. The next prime is 285265369. The reversal of 285265368 is 863562582.

285265368 is a `hidden beast` number, since 28 + 5 + 265 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (285265367) and next prime (285265369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285265361) 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 15 ways as a sum of consecutive naturals, for example, 22233 + ... + 32631.

It is an arithmetic number, because the mean of its divisors is an integer number (12480000).

Almost surely, 2285265368 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 285265368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399360000).

285265368 is an abundant number, since it is smaller than the sum of its proper divisors (513454632).

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

285265368 is a wasteful number, since it uses less digits than its factorization.

285265368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541 (or 10531 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 285265368 is about 16889.8007093038. The cubic root of 285265368 is about 658.2886240997.

It can be divided in two parts, 2852653 and 68, that added together give a square (2852721 = 16892).

The spelling of 285265368 in words is "two hundred eighty-five million, two hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10399 13716 20798 27432 31197 41596 62394 83192 93591 124788 187182 249576 280773 374364 561546 748728 1123092 1320673 2246184 2641346 3962019 5282692 7924038 10565384 11886057 15848076 23772114 31696152 35658171 47544228 71316342 95088456 142632684 285265368