Search a number
-
+
9048104209 = 1937731571123
BaseRepresentation
bin10000110110100111…
…10001110100010001
3212100120121022120201
420123103301310101
5122012303313314
64053500135201
7440135421364
oct103323616421
925316538521
109048104209
113923467681
121906237501
13b12723821
1461b9780db
1537e52eb74
hex21b4f1d11

9048104209 has 32 divisors (see below), whose sum is σ = 9987774080. Its totient is φ = 8166292992.

The previous prime is 9048104203. The next prime is 9048104227. The reversal of 9048104209 is 9024018409.

It is a happy number.

It is a 4-Lehmer number, since φ(9048104209) divides (9048104209-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 9048104209 - 23 = 9048104201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R9048104208.

It is not an unprimeable number, because it can be changed into a prime (9048104201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8056522 + ... + 8057644.

It is an arithmetic number, because the mean of its divisors is an integer number (312117940).

It is a Poulet number, since it divides 29048104208-1.

Almost surely, 29048104209 is an apocalyptic number.

It is an amenable number.

9048104209 is a deficient number, since it is larger than the sum of its proper divisors (939669871).

9048104209 is a wasteful number, since it uses less digits than its factorization.

9048104209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 9048104209 is about 95121.5233740503. The cubic root of 9048104209 is about 2083.7831949929.

The spelling of 9048104209 in words is "nine billion, forty-eight million, one hundred four thousand, two hundred nine".

Divisors: 1 19 37 73 157 703 1123 1387 2701 2983 5809 11461 21337 41551 51319 81979 110371 176311 217759 424057 789469 1557601 3033223 3349909 6523507 8057083 12870703 57631237 123946633 244543357 476216011 9048104209