Search a number
-
+
2873448 = 233353251
BaseRepresentation
bin1010111101100001101000
312101222122000
422331201220
51213422243
6141331000
733265254
oct12754150
95358560
102873448
111692956
12b66a60
13797b86
1454b264
153bb5d3
hex2bd868

2873448 has 64 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 936000.

The previous prime is 2873447. The next prime is 2873449. The reversal of 2873448 is 8443782.

2873448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2873447) and next prime (2873449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2873447) 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, 11323 + ... + 11573.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

22873448 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 2873448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2873448 is an abundant number, since it is smaller than the sum of its proper divisors (5291352).

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

2873448 is a wasteful number, since it uses less digits than its factorization.

2873448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2873448 is about 1695.1247741686. The cubic root of 2873448 is about 142.1677578274.

It can be divided in two parts, 28734 and 48, that added together give a palindrome (28782).

The spelling of 2873448 in words is "two million, eight hundred seventy-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 251 318 424 477 502 636 753 954 1004 1272 1431 1506 1908 2008 2259 2862 3012 3816 4518 5724 6024 6777 9036 11448 13303 13554 18072 26606 27108 39909 53212 54216 79818 106424 119727 159636 239454 319272 359181 478908 718362 957816 1436724 2873448