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2382048 = 2534919
BaseRepresentation
bin1001000101100011100000
311111000120000
421011203200
51102211143
6123020000
726150514
oct11054340
94430500
102382048
111387739
1296a600
136552c6
14460144
15320bd3
hex2458e0

2382048 has 60 divisors (see below), whose sum is σ = 7013160. Its totient is φ = 793152.

The previous prime is 2382001. The next prime is 2382073. The reversal of 2382048 is 8402832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2133 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (116886).

22382048 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 2382048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506580).

2382048 is an abundant number, since it is smaller than the sum of its proper divisors (4631112).

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

2382048 is an equidigital number, since it uses as much as digits as its factorization.

2382048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2382048 is about 1543.3884799363. The cubic root of 2382048 is about 133.5519303083.

The spelling of 2382048 in words is "two million, three hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 919 1296 1838 2592 2757 3676 5514 7352 8271 11028 14704 16542 22056 24813 29408 33084 44112 49626 66168 74439 88224 99252 132336 148878 198504 264672 297756 397008 595512 794016 1191024 2382048