Search a number
-
+
2926836 = 22321119389
BaseRepresentation
bin1011001010100011110100
312111200212100
423022203310
51222124321
6142422100
733610023
oct13124364
95450770
102926836
111719a80
12b91930
137b6273
145628ba
153cc326
hex2ca8f4

2926836 has 72 divisors (see below), whose sum is σ = 8517600. Its totient is φ = 838080.

The previous prime is 2926823. The next prime is 2926843. The reversal of 2926836 is 6386292.

2926836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2926836.

It is a congruent number.

It is an unprimeable number.

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, 7330 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (118300).

22926836 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 2926836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258800).

2926836 is an abundant number, since it is smaller than the sum of its proper divisors (5590764).

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

2926836 is a wasteful number, since it uses less digits than its factorization.

2926836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2926836 is about 1710.7998129530. The cubic root of 2926836 is about 143.0428417450.

The spelling of 2926836 in words is "two million, nine hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 389 396 418 627 684 778 836 1167 1254 1556 1881 2334 2508 3501 3762 4279 4668 7002 7391 7524 8558 12837 14004 14782 17116 22173 25674 29564 38511 44346 51348 66519 77022 81301 88692 133038 154044 162602 243903 266076 325204 487806 731709 975612 1463418 2926836