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3091248801 = 324324312
BaseRepresentation
bin1011100001000000…
…1011011010100001
321222102201201011100
42320100023122201
522312324430201
61230424105013
7136414116114
oct27020133241
97872651140
103091248801
111346a24a83
12723305169
133a3582a04
1421479a57b
151315ba886
hexb840b6a1

3091248801 has 27 divisors (see below), whose sum is σ = 4582023537. Its totient is φ = 2008235880.

The previous prime is 3091248799. The next prime is 3091248803. The reversal of 3091248801 is 1088421903.

The square root of 3091248801 is 55599.

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

It is an interprime number because it is at equal distance from previous prime (3091248799) and next prime (3091248803).

It is not a de Polignac number, because 3091248801 - 21 = 3091248799 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3091248803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7172056 + ... + 7172486.

Almost surely, 23091248801 is an apocalyptic number.

3091248801 is the 55599-th square number.

3091248801 is the 27800-th centered octagonal number.

It is an amenable number.

3091248801 is a deficient number, since it is larger than the sum of its proper divisors (1490774736).

3091248801 is an frugal number, since it uses more digits than its factorization.

3091248801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 3091248801 is about 1456.7263866921.

Multiplying 3091248801 by its sum of digits (36), we get a square (111284956836 = 3335942).

The spelling of 3091248801 in words is "three billion, ninety-one million, two hundred forty-eight thousand, eight hundred one".

Divisors: 1 3 9 43 129 387 431 1293 1849 3879 5547 16641 18533 55599 166797 185761 557283 796919 1671849 2390757 7172271 7987723 23963169 71889507 343472089 1030416267 3091248801