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2282672 = 24789229
BaseRepresentation
bin1000101101010010110000
311021222020102
420231102300
51041021142
6120531532
725255010
oct10552260
94258212
102282672
11131a007
12920ba8
1361bcc2
14435c40
15301532
hex22d4b0

2282672 has 40 divisors (see below), whose sum is σ = 5133600. Its totient is φ = 963072.

The previous prime is 2282653. The next prime is 2282699. The reversal of 2282672 is 2762822.

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, 9854 + ... + 10082.

It is an arithmetic number, because the mean of its divisors is an integer number (128340).

22282672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566800).

2282672 is an abundant number, since it is smaller than the sum of its proper divisors (2850928).

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

2282672 is a wasteful number, since it uses less digits than its factorization.

2282672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 2282672 is about 1510.8514155932. The cubic root of 2282672 is about 131.6682824848.

The spelling of 2282672 in words is "two million, two hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 229 356 458 623 712 916 1246 1424 1603 1832 2492 3206 3664 4984 6412 9968 12824 20381 25648 40762 81524 142667 163048 285334 326096 570668 1141336 2282672