Search a number
-
+
30488976 = 24327229149
BaseRepresentation
bin111010001001…
…1100110010000
32010101000000100
41310103212100
530301121401
63005252400
7520103100
oct164234620
963330010
1030488976
1116234901
12a264100
13641671b
144099200
152a23b86
hex1d13990

30488976 has 180 divisors, whose sum is σ = 103369500. Its totient is φ = 8354304.

The previous prime is 30488957. The next prime is 30488981. The reversal of 30488976 is 67988403.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 21344400 = 3024^2 + 4620^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 204550 + ... + 204698.

It is an arithmetic number, because the mean of its divisors is an integer number (574275).

Almost surely, 230488976 is an apocalyptic number.

30488976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30488976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51684750).

30488976 is an abundant number, since it is smaller than the sum of its proper divisors (72880524).

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

30488976 is a wasteful number, since it uses less digits than its factorization.

30488976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 30488976 is about 5521.6823523271. The cubic root of 30488976 is about 312.4023408972.

The spelling of 30488976 in words is "thirty million, four hundred eighty-eight thousand, nine hundred seventy-six".