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284989040 = 2457508909
BaseRepresentation
bin10000111111001…
…001011001110000
3201212020221110122
4100333021121300
51040424122130
644140145412
710030236560
oct2077113160
9655227418
10284989040
11136961536
127b538268
134707348b
1429bc6da0
151a0462e5
hex10fc9670

284989040 has 40 divisors (see below), whose sum is σ = 757258080. Its totient is φ = 97710336.

The previous prime is 284989039. The next prime is 284989121. The reversal of 284989040 is 40989482.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 284988982 and 284989000.

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, 253895 + ... + 255014.

It is an arithmetic number, because the mean of its divisors is an integer number (18931452).

Almost surely, 2284989040 is an apocalyptic number.

284989040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284989040 is an abundant number, since it is smaller than the sum of its proper divisors (472269040).

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

284989040 is a wasteful number, since it uses less digits than its factorization.

284989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508929 (or 508923 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 284989040 is about 16881.6184058283. The cubic root of 284989040 is about 658.0760006202.

The spelling of 284989040 in words is "two hundred eighty-four million, nine hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 508909 1017818 2035636 2544545 3562363 4071272 5089090 7124726 8142544 10178180 14249452 17811815 20356360 28498904 35623630 40712720 56997808 71247260 142494520 284989040