Search a number
-
+
978876369 = 32104292
BaseRepresentation
bin111010010110000…
…111011111010001
32112012221001221100
4322112013133101
54001043020434
6241044415013
733154211652
oct7226073721
92465831840
10978876369
11462606339
122339a7469
13127a524b3
149400d529
155ae0c699
hex3a5877d1

978876369 has 9 divisors (see below), whose sum is σ = 1414068123. Its totient is φ = 652521672.

The previous prime is 978876323. The next prime is 978876377. The reversal of 978876369 is 963678879.

It is a happy number.

The square root of 978876369 is 31287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 969512769 + 9363600 = 31137^2 + 3060^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 978876369 - 215 = 978843601 is a prime.

It is a super-2 number, since 2×9788763692 = 1916397891573248322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (978876319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88647 + ... + 99075.

Almost surely, 2978876369 is an apocalyptic number.

978876369 is the 31287-th square number.

978876369 is the 15644-th centered octagonal number.

It is an amenable number.

978876369 is a deficient number, since it is larger than the sum of its proper divisors (435191754).

978876369 is an frugal number, since it uses more digits than its factorization.

978876369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20864 (or 10432 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The cubic root of 978876369 is about 992.9086208784.

The spelling of 978876369 in words is "nine hundred seventy-eight million, eight hundred seventy-six thousand, three hundred sixty-nine".

Divisors: 1 3 9 10429 31287 93861 108764041 326292123 978876369