Search a number
-
+
2869248 = 2113467
BaseRepresentation
bin1010111100100000000000
312101202212110
422330200000
51213303443
6141255320
733250104
oct12744000
95352773
102869248
11168a788
12b64540
13795ca5
14549904
153ba233
hex2bc800

2869248 has 48 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 954368.

The previous prime is 2869241. The next prime is 2869249. The reversal of 2869248 is 8429682.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2869241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5911 + ... + 6377.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

22869248 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 2869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2869248 is an abundant number, since it is smaller than the sum of its proper divisors (4796592).

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

2869248 is an equidigital number, since it uses as much as digits as its factorization.

2869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2869248 is about 1693.8854742869. The cubic root of 2869248 is about 142.0984571428.

The spelling of 2869248 in words is "two million, eight hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 467 512 768 934 1024 1401 1536 1868 2048 2802 3072 3736 5604 6144 7472 11208 14944 22416 29888 44832 59776 89664 119552 179328 239104 358656 478208 717312 956416 1434624 2869248