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8133876 = 2232225941
BaseRepresentation
bin11111000001110011110100
3120022020120200
4133001303310
54040241001
6450200500
7126064632
oct37016364
916266520
108133876
114656113
122883130
1318ba35a
14111a352
15aaa086
hex7c1cf4

8133876 has 18 divisors (see below), whose sum is σ = 20560722. Its totient is φ = 2711280.

The previous prime is 8133869. The next prime is 8133877. The reversal of 8133876 is 6783318.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 181476 = 2820^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 225941 = 8133876 / (8 + 1 + 3 + 3 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 8133876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133877) 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 5 ways as a sum of consecutive naturals, for example, 112935 + ... + 113006.

Almost surely, 28133876 is an apocalyptic number.

It is an amenable number.

8133876 is an abundant number, since it is smaller than the sum of its proper divisors (12426846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8133876 is a wasteful number, since it uses less digits than its factorization.

8133876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225951 (or 225946 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 8133876 is about 2851.9950911599. The cubic root of 8133876 is about 201.1094673637.

It can be divided in two parts, 8133 and 876, that added together give a palindrome (9009).

The spelling of 8133876 in words is "eight million, one hundred thirty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 225941 451882 677823 903764 1355646 2033469 2711292 4066938 8133876