Search a number
-
+
8358042 = 2371179229
BaseRepresentation
bin11111111000100010011010
3120201122002010
4133320202122
54114424132
6455050350
7131020320
oct37704232
916648063
108358042
114799580
1229709b6
1319683b4
141177d10
15b016cc
hex7f889a

8358042 has 64 divisors (see below), whose sum is σ = 21196800. Its totient is φ = 2134080.

The previous prime is 8358029. The next prime is 8358059. The reversal of 8358042 is 2408538.

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 31 ways as a sum of consecutive naturals, for example, 36384 + ... + 36612.

It is an arithmetic number, because the mean of its divisors is an integer number (331200).

Almost surely, 28358042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8358042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598400).

8358042 is an abundant number, since it is smaller than the sum of its proper divisors (12838758).

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

8358042 is a wasteful number, since it uses less digits than its factorization.

8358042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 8358042 is about 2891.0278449022. The cubic root of 8358042 is about 202.9402462712.

The spelling of 8358042 in words is "eight million, three hundred fifty-eight thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 229 231 237 458 462 474 553 687 869 1106 1374 1603 1659 1738 2519 2607 3206 3318 4809 5038 5214 6083 7557 9618 12166 15114 17633 18091 18249 35266 36182 36498 52899 54273 105798 108546 126637 199001 253274 379911 398002 597003 759822 1194006 1393007 2786014 4179021 8358042