Search a number
-
+
2878536 = 233315373
BaseRepresentation
bin1010111110110001001000
312102020121110
422332301020
51214103121
6141410320
733316143
oct12766110
95366543
102878536
111696761
12b699a0
1379a29b
1454d05a
153bcd76
hex2bec48

2878536 has 64 divisors (see below), whose sum is σ = 7672320. Its totient is φ = 898560.

The previous prime is 2878451. The next prime is 2878537. The reversal of 2878536 is 6358782.

2878536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2878494 and 2878503.

It is not an unprimeable number, because it can be changed into a prime (2878537) 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, 39396 + ... + 39468.

It is an arithmetic number, because the mean of its divisors is an integer number (119880).

22878536 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 2878536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836160).

2878536 is an abundant number, since it is smaller than the sum of its proper divisors (4793784).

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

2878536 is a wasteful number, since it uses less digits than its factorization.

2878536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2878536 is about 1696.6248848817. The cubic root of 2878536 is about 142.2516202611.

The spelling of 2878536 in words is "two million, eight hundred seventy-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 73 93 106 124 146 159 186 212 219 248 292 318 372 424 438 584 636 744 876 1272 1643 1752 2263 3286 3869 4526 4929 6572 6789 7738 9052 9858 11607 13144 13578 15476 18104 19716 23214 27156 30952 39432 46428 54312 92856 119939 239878 359817 479756 719634 959512 1439268 2878536