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2292048 = 2432111447
BaseRepresentation
bin1000101111100101010000
311022110002200
420233211100
51041321143
6121043200
725324233
oct10574520
94273080
102292048
111326060
12926500
13623355
1443941a
153041d3
hex22f950

2292048 has 60 divisors (see below), whose sum is σ = 7002528. Its totient is φ = 694080.

The previous prime is 2292041. The next prime is 2292053. The reversal of 2292048 is 8402922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861 + ... + 2307.

22292048 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 2292048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501264).

2292048 is an abundant number, since it is smaller than the sum of its proper divisors (4710480).

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

2292048 is a wasteful number, since it uses less digits than its factorization.

2292048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2292048 is about 1513.9511220644. The cubic root of 2292048 is about 131.8483105995.

The spelling of 2292048 in words is "two million, two hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1447 1584 2894 4341 5788 8682 11576 13023 15917 17364 23152 26046 31834 34728 47751 52092 63668 69456 95502 104184 127336 143253 191004 208368 254672 286506 382008 573012 764016 1146024 2292048