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285746000 = 2453142873
BaseRepresentation
bin10001000010000…
…010001101010000
3201220200101211012
4101002002031100
51041122333000
644204310052
710036541501
oct2102021520
9656611735
10285746000
11137329221
127b842328
1347279b97
1429d42ba8
151a145735
hex11082350

285746000 has 40 divisors (see below), whose sum is σ = 690938664. Its totient is φ = 114297600.

The previous prime is 285745987. The next prime is 285746029. The reversal of 285746000 is 647582.

285746000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 285745216 = 28^2 + 16904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69437 + ... + 73436.

Almost surely, 2285746000 is an apocalyptic number.

285746000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285746000 is an abundant number, since it is smaller than the sum of its proper divisors (405192664).

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

285746000 is a wasteful number, since it uses less digits than its factorization.

285746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142896 (or 142880 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 285746000 is about 16904.0231897617. The cubic root of 285746000 is about 658.6581245557.

The spelling of 285746000 in words is "two hundred eighty-five million, seven hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 142873 285746 571492 714365 1142984 1428730 2285968 2857460 3571825 5714920 7143650 11429840 14287300 17859125 28574600 35718250 57149200 71436500 142873000 285746000