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2968488 = 2336509
BaseRepresentation
bin1011010100101110101000
312120211000000
423110232220
51224442423
6143343000
734142325
oct13245650
95524000
102968488
1117482a6
12bb1a60
137cc203
14573b4c
153d9843
hex2d4ba8

2968488 has 56 divisors (see below), whose sum is σ = 8361450. Its totient is φ = 987552.

The previous prime is 2968487. The next prime is 2968513. The reversal of 2968488 is 8848692.

It is a happy number.

2968488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 842724 = 1458^2 + 918^2 .

It is a super-2 number, since 2×29684882 = 17623842012288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2968487) 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 13 ways as a sum of consecutive naturals, for example, 5578 + ... + 6086.

22968488 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 2968488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180725).

2968488 is an abundant number, since it is smaller than the sum of its proper divisors (5392962).

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

2968488 is an equidigital number, since it uses as much as digits as its factorization.

2968488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2968488 is about 1722.9300624227. The cubic root of 2968488 is about 143.7181988884.

The spelling of 2968488 in words is "two million, nine hundred sixty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 509 648 729 972 1018 1458 1527 1944 2036 2916 3054 4072 4581 5832 6108 9162 12216 13743 18324 27486 36648 41229 54972 82458 109944 123687 164916 247374 329832 371061 494748 742122 989496 1484244 2968488