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2886984 = 2332101397
BaseRepresentation
bin1011000000110101001000
312102200012100
423000311020
51214340414
6141513400
733352602
oct13006510
95380170
102886984
1116a2041
12b72860
137a1099
14552172
153c0609
hex2c0d48

2886984 has 48 divisors (see below), whose sum is σ = 7916220. Its totient is φ = 950400.

The previous prime is 2886973. The next prime is 2886997. The reversal of 2886984 is 4896882.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2490084 + 396900 = 1578^2 + 630^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7074 + ... + 7470.

22886984 is an apocalyptic number.

2886984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2886984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958110).

2886984 is an abundant number, since it is smaller than the sum of its proper divisors (5029236).

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

2886984 is a wasteful number, since it uses less digits than its factorization.

2886984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2886984 is about 1699.1127096223. The cubic root of 2886984 is about 142.3906455581.

The spelling of 2886984 in words is "two million, eight hundred eighty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 397 404 606 794 808 909 1191 1212 1588 1818 2382 2424 3176 3573 3636 4764 7146 7272 9528 14292 28584 40097 80194 120291 160388 240582 320776 360873 481164 721746 962328 1443492 2886984