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8313138 = 233153947
BaseRepresentation
bin11111101101100100110010
3120122100111000
4133231210302
54112010023
6454102430
7130442361
oct37554462
916570430
108313138
114768869
12294aa16
131950b22
1411657d8
15ae3243
hex7ed932

8313138 has 16 divisors (see below), whose sum is σ = 18473760. Its totient is φ = 2771028.

The previous prime is 8313133. The next prime is 8313161.

8313138 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8313133) 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, 76920 + ... + 77027.

It is an arithmetic number, because the mean of its divisors is an integer number (1154610).

Almost surely, 28313138 is an apocalyptic number.

8313138 is an abundant number, since it is smaller than the sum of its proper divisors (10160622).

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

8313138 is a wasteful number, since it uses less digits than its factorization.

8313138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153958 (or 153952 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8313138 is about 2883.2512897769. The cubic root of 8313138 is about 202.5761579112.

It can be divided in two parts, 831 and 3138, that added together give a square (3969 = 632).

The spelling of 8313138 in words is "eight million, three hundred thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 153947 307894 461841 923682 1385523 2771046 4156569 8313138