Search a number
-
+
5822964 = 2232723301
BaseRepresentation
bin10110001101100111110100
3101221211121100
4112031213310
52442313324
6324450100
7100331400
oct26154764
911854540
105822964
113317974
121b49930
13128b554
14ab8100
157a04c9
hex58d9f4

5822964 has 54 divisors (see below), whose sum is σ = 17127474. Its totient is φ = 1663200.

The previous prime is 5822963. The next prime is 5822969. The reversal of 5822964 is 4692285.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4235364 + 1587600 = 2058^2 + 1260^2 .

It is a super-3 number, since 3×58229643 (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5822963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114 + ... + 3414.

Almost surely, 25822964 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 5822964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563737).

5822964 is an abundant number, since it is smaller than the sum of its proper divisors (11304510).

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

5822964 is a wasteful number, since it uses less digits than its factorization.

5822964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3313 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5822964 is about 2413.0818469335. The cubic root of 5822964 is about 179.9069889839.

It can be divided in two parts, 5822 and 964, that added together give a triangular number (6786 = T116).

The spelling of 5822964 in words is "five million, eight hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3301 6602 9903 13204 19806 23107 29709 39612 46214 59418 69321 92428 118836 138642 161749 207963 277284 323498 415926 485247 646996 831852 970494 1455741 1940988 2911482 5822964