Search a number
-
+
7004946 = 2313312897
BaseRepresentation
bin11010101110001100010010
3111011212222110
4122232030102
53243124241
6410050150
7113353404
oct32561422
914155873
107004946
113a54a13
122419956
1315b3550
14d04b74
15935816
hex6ae312

7004946 has 32 divisors (see below), whose sum is σ = 15579648. Its totient is φ = 2085120.

The previous prime is 7004941. The next prime is 7005013. The reversal of 7004946 is 6494007.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7004941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 970 + ... + 3866.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 27004946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7004946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789824).

7004946 is an abundant number, since it is smaller than the sum of its proper divisors (8574702).

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

7004946 is a wasteful number, since it uses less digits than its factorization.

7004946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 7004946 is about 2646.6858521555. The cubic root of 7004946 is about 191.3381617540.

The spelling of 7004946 in words is "seven million, four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 2897 5794 8691 17382 37661 75322 89807 112983 179614 225966 269421 538842 1167491 2334982 3502473 7004946