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2048577401 = 13179269581
BaseRepresentation
bin111101000011010…
…1100111101111001
312021202202111220002
41322012230331321
513143413434101
6535140042345
7101523422603
oct17206547571
95252674802
102048577401
11961406582
124920933b5
132685550a0
14156102173
15becaad6b
hex7a1acf79

2048577401 has 8 divisors (see below), whose sum is σ = 2335934664. Its totient is φ = 1779759360.

The previous prime is 2048577389. The next prime is 2048577407. The reversal of 2048577401 is 1047758402.

It can be written as a sum of positive squares in 4 ways, for example, as 3367225 + 2045210176 = 1835^2 + 45224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2048577401 - 210 = 2048576377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048577407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4634570 + ... + 4635011.

It is an arithmetic number, because the mean of its divisors is an integer number (291991833).

Almost surely, 22048577401 is an apocalyptic number.

It is an amenable number.

2048577401 is a deficient number, since it is larger than the sum of its proper divisors (287357263).

2048577401 is a wasteful number, since it uses less digits than its factorization.

2048577401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9269611.

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 2048577401 is about 45261.2129863971. The cubic root of 2048577401 is about 1270.0401750161.

The spelling of 2048577401 in words is "two billion, forty-eight million, five hundred seventy-seven thousand, four hundred one".

Divisors: 1 13 17 221 9269581 120504553 157582877 2048577401