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2882664 = 233240037
BaseRepresentation
bin1010111111110001101000
312102110021100
422333301220
51214221124
6141441400
733334161
oct12776150
95373240
102882664
111699874
12b70260
1379c125
14550768
153be1c9
hex2bfc68

2882664 has 24 divisors (see below), whose sum is σ = 7807410. Its totient is φ = 960864.

The previous prime is 2882657. The next prime is 2882717. The reversal of 2882664 is 4662882.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 756900 = 1458^2 + 870^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19947 + ... + 20090.

22882664 is an apocalyptic number.

2882664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2882664 is an abundant number, since it is smaller than the sum of its proper divisors (4924746).

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

2882664 is a wasteful number, since it uses less digits than its factorization.

2882664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40049 (or 40042 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2882664 is about 1697.8409819533. The cubic root of 2882664 is about 142.3195870112.

The spelling of 2882664 in words is "two million, eight hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 40037 80074 120111 160148 240222 320296 360333 480444 720666 960888 1441332 2882664