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2884992 = 27311683
BaseRepresentation
bin1011000000010110000000
312102120110120
423000112000
51214304432
6141500240
733344025
oct13002600
95376416
102884992
1116a05a0
12b71680
137a01c6
1455154c
153bec2c
hex2c0580

2884992 has 64 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 872960.

The previous prime is 2884991. The next prime is 2884993. The reversal of 2884992 is 2994882.

It is an interprime number because it is at equal distance from previous prime (2884991) and next prime (2884993).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3883 + ... + 4565.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

22884992 is an apocalyptic number.

2884992 is a gapful number since it is divisible by the number (22) 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 2884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080).

2884992 is an abundant number, since it is smaller than the sum of its proper divisors (5487168).

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

2884992 is a wasteful number, since it uses less digits than its factorization.

2884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 2884992 is about 1698.5264201654. The cubic root of 2884992 is about 142.3578884862.

The spelling of 2884992 in words is "two million, eight hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 683 704 1056 1366 1408 2049 2112 2732 4098 4224 5464 7513 8196 10928 15026 16392 21856 22539 30052 32784 43712 45078 60104 65568 87424 90156 120208 131136 180312 240416 262272 360624 480832 721248 961664 1442496 2884992