Search a number
-
+
8083242 = 2323753229
BaseRepresentation
bin11110110101011100101010
3120012200010100
4132311130222
54032130432
6445130230
7125464206
oct36653452
916180110
108083242
114621072
122859976
1318a02ab
141105b06
15a9a07c
hex7b572a

8083242 has 48 divisors (see below), whose sum is σ = 18406440. Its totient is φ = 2560896.

The previous prime is 8083223. The next prime is 8083253. The reversal of 8083242 is 2423808.

It can be written as a sum of positive squares in 4 ways, for example, as 7733961 + 349281 = 2781^2 + 591^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35184 + ... + 35412.

Almost surely, 28083242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8083242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9203220).

8083242 is an abundant number, since it is smaller than the sum of its proper divisors (10323198).

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

8083242 is a wasteful number, since it uses less digits than its factorization.

8083242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8083242 is about 2843.1042893288. The cubic root of 8083242 is about 200.6912911630.

The spelling of 8083242 in words is "eight million, eighty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 229 318 333 458 477 666 687 954 1374 1961 2061 3922 4122 5883 8473 11766 12137 16946 17649 24274 25419 35298 36411 50838 72822 76257 109233 152514 218466 449069 898138 1347207 2694414 4041621 8083242