Search a number
-
+
8005350 = 235283643
BaseRepresentation
bin11110100010011011100110
3120001201021110
4132202123212
54022132400
6443325450
7125021133
oct36423346
916051243
108005350
1145785a1
122820886
1318739c2
1410c558a
15a81e50
hex7a26e6

8005350 has 48 divisors (see below), whose sum is σ = 20123712. Its totient is φ = 2105760.

The previous prime is 8005343. The next prime is 8005367. The reversal of 8005350 is 535008.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12129 + ... + 12771.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 28005350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061856).

8005350 is an abundant number, since it is smaller than the sum of its proper divisors (12118362).

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

8005350 is a wasteful number, since it uses less digits than its factorization.

8005350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 8005350 is about 2829.3727220004. The cubic root of 8005350 is about 200.0445733987.

The spelling of 8005350 in words is "eight million, five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 643 830 1245 1286 1929 2075 2490 3215 3858 4150 6225 6430 9645 12450 16075 19290 32150 48225 53369 96450 106738 160107 266845 320214 533690 800535 1334225 1601070 2668450 4002675 8005350