Search a number
-
+
2838696 = 233761277
BaseRepresentation
bin1010110101000010101000
312100012221220
422311002220
51211314241
6140502040
733062040
oct12650250
95305856
102838696
111669833
12b4a920
13785103
1453c720
153b1166
hex2b50a8

2838696 has 64 divisors (see below), whose sum is σ = 8273280. Its totient is φ = 794880.

The previous prime is 2838631. The next prime is 2838697. The reversal of 2838696 is 6968382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2838697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10110 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (129270).

22838696 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 2838696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136640).

2838696 is an abundant number, since it is smaller than the sum of its proper divisors (5434584).

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

2838696 is a wasteful number, since it uses less digits than its factorization.

2838696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2838696 is about 1684.8430193938. The cubic root of 2838696 is about 141.5922974520.

It can be divided in two parts, 28386 and 96, that added together give a palindrome (28482).

The spelling of 2838696 in words is "two million, eight hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 277 366 427 488 554 732 831 854 1108 1281 1464 1662 1708 1939 2216 2562 3324 3416 3878 5124 5817 6648 7756 10248 11634 15512 16897 23268 33794 46536 50691 67588 101382 118279 135176 202764 236558 354837 405528 473116 709674 946232 1419348 2838696