Search a number
-
+
949956 = 223743263
BaseRepresentation
bin11100111111011000100
31210021002120
43213323010
5220344311
632205540
711034360
oct3477304
91707076
10949956
11599797
123998b0
13273507
141aa2a0
1513b706
hexe7ec4

949956 has 48 divisors (see below), whose sum is σ = 2601984. Its totient is φ = 264096.

The previous prime is 949951. The next prime is 949957. The reversal of 949956 is 659949.

It is a happy number.

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 (949951) 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, 3481 + ... + 3743.

It is an arithmetic number, because the mean of its divisors is an integer number (54208).

2949956 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 949956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300992).

949956 is an abundant number, since it is smaller than the sum of its proper divisors (1652028).

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

949956 is a wasteful number, since it uses less digits than its factorization.

949956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 949956 is about 974.6568626958. The cubic root of 949956 is about 98.3032395382.

The spelling of 949956 in words is "nine hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 263 301 516 526 602 789 903 1052 1204 1578 1806 1841 3156 3612 3682 5523 7364 11046 11309 22092 22618 33927 45236 67854 79163 135708 158326 237489 316652 474978 949956