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2849424 = 243232989
BaseRepresentation
bin1010110111101010010000
312100202200020
422313222100
51212140144
6141023440
733135234
oct12675220
95322606
102849424
1116768a6
12b54b80
13789c66
145425c4
153b4419
hex2b7a90

2849424 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 867328.

The previous prime is 2849423. The next prime is 2849461. The reversal of 2849424 is 4249482.

2849424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2849423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31972 + ... + 32060.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22849424 is an apocalyptic number.

2849424 is a gapful number since it is divisible by the number (24) 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 2849424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2849424 is an abundant number, since it is smaller than the sum of its proper divisors (5185776).

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

2849424 is a wasteful number, since it uses less digits than its factorization.

2849424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2849424 is about 1688.0236965161. The cubic root of 2849424 is about 141.7704417639.

The spelling of 2849424 in words is "two million, eight hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 89 92 116 138 174 178 184 232 267 276 348 356 368 464 534 552 667 696 712 1068 1104 1334 1392 1424 2001 2047 2136 2581 2668 4002 4094 4272 5162 5336 6141 7743 8004 8188 10324 10672 12282 15486 16008 16376 20648 24564 30972 32016 32752 41296 49128 59363 61944 98256 118726 123888 178089 237452 356178 474904 712356 949808 1424712 2849424