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8244458401 = 2923121012
BaseRepresentation
bin1111010110110100…
…00111001110100001
3210021120101212210011
413223122013032201
5113341040132101
63442031204521
7411206511604
oct75332071641
923246355704
108244458401
113550866693
121721076741
13a1509536a
14582d4033b
15333bd7751
hex1eb6873a1

8244458401 has 27 divisors (see below), whose sum is σ = 8911095609. Its totient is φ = 7627116000.

The previous prime is 8244458389. The next prime is 8244458419. The reversal of 8244458401 is 1048544428.

The square root of 8244458401 is 90799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2709098401 + 5535360000 = 52049^2 + 74400^2 .

It is not a de Polignac number, because 8244458401 - 29 = 8244457889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8244458461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81628251 + ... + 81628351.

Almost surely, 28244458401 is an apocalyptic number.

8244458401 is the 90799-th square number.

8244458401 is the 45400-th centered octagonal number.

It is an amenable number.

8244458401 is a deficient number, since it is larger than the sum of its proper divisors (666637208).

8244458401 is an equidigital number, since it uses as much as digits as its factorization.

8244458401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 40.

The cubic root of 8244458401 is about 2020.1674861127.

The spelling of 8244458401 in words is "eight billion, two hundred forty-four million, four hundred fifty-eight thousand, four hundred one".

Divisors: 1 29 31 101 841 899 961 2929 3131 10201 26071 27869 84941 90799 97061 295829 316231 808201 2633171 2814769 8579041 9170699 9803161 81628301 265950271 284291669 8244458401