Search a number
-
+
2833272 = 2333131009
BaseRepresentation
bin1010110011101101111000
312022221112000
422303231320
51211131042
6140421000
733040161
oct12635570
95287460
102833272
111665752
12b47760
137827c0
1453a768
153ae74c
hex2b3b78

2833272 has 64 divisors (see below), whose sum is σ = 8484000. Its totient is φ = 870912.

The previous prime is 2833247. The next prime is 2833279. The reversal of 2833272 is 2723382.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2304 + ... + 3312.

22833272 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 2833272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242000).

2833272 is an abundant number, since it is smaller than the sum of its proper divisors (5650728).

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

2833272 is a wasteful number, since it uses less digits than its factorization.

2833272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1027 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2833272 is about 1683.2326042470. The cubic root of 2833272 is about 141.5020580971.

The spelling of 2833272 in words is "two million, eight hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1009 1404 2018 2808 3027 4036 6054 8072 9081 12108 13117 18162 24216 26234 27243 36324 39351 52468 54486 72648 78702 104936 108972 118053 157404 217944 236106 314808 354159 472212 708318 944424 1416636 2833272