Search a number
-
+
2845836 = 2232723491
BaseRepresentation
bin1010110110110010001100
312100120202100
422312302030
51212031321
6140555100
733121620
oct12666214
95316670
102845836
111674134
12b52a90
13788436
14541180
153b3326
hex2b6c8c

2845836 has 72 divisors (see below), whose sum is σ = 8596224. Its totient is φ = 776160.

The previous prime is 2845823. The next prime is 2845837. The reversal of 2845836 is 6385482.

2845836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2845836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845837) 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 23 ways as a sum of consecutive naturals, for example, 5551 + ... + 6041.

It is an arithmetic number, because the mean of its divisors is an integer number (119392).

22845836 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 2845836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298112).

2845836 is an abundant number, since it is smaller than the sum of its proper divisors (5750388).

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

2845836 is a wasteful number, since it uses less digits than its factorization.

2845836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2845836 is about 1686.9605804523. The cubic root of 2845836 is about 141.7109109018.

The spelling of 2845836 in words is "two million, eight hundred forty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 491 644 828 966 982 1449 1473 1932 1964 2898 2946 3437 4419 5796 5892 6874 8838 10311 11293 13748 17676 20622 22586 30933 33879 41244 45172 61866 67758 79051 101637 123732 135516 158102 203274 237153 316204 406548 474306 711459 948612 1422918 2845836