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2833248 = 253112683
BaseRepresentation
bin1010110011101101100000
312022221111010
422303231200
51211130443
6140420520
733040125
oct12635540
95287433
102833248
111665730
12b47740
137827a2
1453a74c
153ae733
hex2b3b60

2833248 has 48 divisors (see below), whose sum is σ = 8116416. Its totient is φ = 858240.

The previous prime is 2833247. The next prime is 2833279. The reversal of 2833248 is 8423382.

2833248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833241) 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 2397.

It is an arithmetic number, because the mean of its divisors is an integer number (169092).

22833248 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 2833248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058208).

2833248 is an abundant number, since it is smaller than the sum of its proper divisors (5283168).

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

2833248 is a wasteful number, since it uses less digits than its factorization.

2833248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2833248 is about 1683.2254750924. The cubic root of 2833248 is about 141.5016585521.

It can be divided in two parts, 2833 and 248, that added together give a triangular number (3081 = T78).

The spelling of 2833248 in words is "two million, eight hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2683 5366 8049 10732 16098 21464 29513 32196 42928 59026 64392 85856 88539 118052 128784 177078 236104 257568 354156 472208 708312 944416 1416624 2833248