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2284048 = 241379139
BaseRepresentation
bin1000101101101000010000
311022001010101
420231220100
51041042143
6120542144
725262014
oct10555020
94261111
102284048
111320048
12921954
1361c810
14436544
15301b4d
hex22da10

2284048 has 40 divisors (see below), whose sum is σ = 4860800. Its totient is φ = 1033344.

The previous prime is 2284043. The next prime is 2284057. The reversal of 2284048 is 8404822.

It is not an unprimeable number, because it can be changed into a prime (2284043) 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, 16363 + ... + 16501.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

22284048 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 2284048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430400).

2284048 is an abundant number, since it is smaller than the sum of its proper divisors (2576752).

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

2284048 is a wasteful number, since it uses less digits than its factorization.

2284048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2284048 is about 1511.3067193657. The cubic root of 2284048 is about 131.6947338196.

The spelling of 2284048 in words is "two million, two hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 79 104 139 158 208 278 316 556 632 1027 1112 1264 1807 2054 2224 3614 4108 7228 8216 10981 14456 16432 21962 28912 43924 87848 142753 175696 285506 571012 1142024 2284048