Search a number
-
+
2798964 = 2232729383
BaseRepresentation
bin1010101011010101110100
312021012110100
422223111310
51204031324
6135554100
732535150
oct12532564
95235410
102798964
1116419a3
12b2b930
1376ccbc
1452c060
153a44c9
hex2ab574

2798964 has 72 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 770112.

The previous prime is 2798963. The next prime is 2798969. The reversal of 2798964 is 4698972.

It is a happy number.

2798964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7117 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

22798964 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 2798964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2798964 is an abundant number, since it is smaller than the sum of its proper divisors (5587596).

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

2798964 is a wasteful number, since it uses less digits than its factorization.

2798964 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 217728, while the sum is 45.

The square root of 2798964 is about 1673.0104602183. The cubic root of 2798964 is about 140.9285891600.

The spelling of 2798964 in words is "two million, seven hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 383 406 522 609 766 812 1044 1149 1218 1532 1827 2298 2436 2681 3447 3654 4596 5362 6894 7308 8043 10724 11107 13788 16086 22214 24129 32172 33321 44428 48258 66642 77749 96516 99963 133284 155498 199926 233247 310996 399852 466494 699741 932988 1399482 2798964