Search a number
-
+
8044137 = 33297931
BaseRepresentation
bin11110101011111001101001
3120010200111000
4132223321221
54024403022
6444225213
7125242203
oct36537151
916120430
108044137
1145a4752
12283b209
13188855a
1410d5773
15a8d6ac
hex7abe69

8044137 has 8 divisors (see below), whose sum is σ = 11917280. Its totient is φ = 5362740.

The previous prime is 8044123. The next prime is 8044171. The reversal of 8044137 is 7314408.

It is not a de Polignac number, because 8044137 - 26 = 8044073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 297931 = 8044137 / (8 + 0 + 4 + 4 + 1 + 3 + 7).

It is a Duffinian number.

8044137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8044137.

It is not an unprimeable number, because it can be changed into a prime (8044117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148939 + ... + 148992.

It is an arithmetic number, because the mean of its divisors is an integer number (1489660).

Almost surely, 28044137 is an apocalyptic number.

It is an amenable number.

8044137 is a deficient number, since it is larger than the sum of its proper divisors (3873143).

8044137 is a wasteful number, since it uses less digits than its factorization.

8044137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297940 (or 297934 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8044137 is about 2836.2187856370. The cubic root of 8044137 is about 200.3671339841.

The spelling of 8044137 in words is "eight million, forty-four thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 297931 893793 2681379 8044137