Search a number
-
+
8042118 = 237436173
BaseRepresentation
bin11110101011011010000110
3120010120201020
4132223122012
54024321433
6444212010
7125233260
oct36533206
916116636
108042118
1145a3187
12283a006
131887666
1410d4b30
15a8ccb3
hex7ab686

8042118 has 64 divisors (see below), whose sum is σ = 19379712. Its totient is φ = 2177280.

The previous prime is 8042101. The next prime is 8042147. The reversal of 8042118 is 8112408.

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, 110130 + ... + 110202.

It is an arithmetic number, because the mean of its divisors is an integer number (302808).

Almost surely, 28042118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689856).

8042118 is an abundant number, since it is smaller than the sum of its proper divisors (11337594).

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

8042118 is a wasteful number, since it uses less digits than its factorization.

8042118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8042118 is about 2835.8628316616. The cubic root of 8042118 is about 200.3503691821.

The spelling of 8042118 in words is "eight million, forty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 43 61 73 86 122 129 146 183 219 258 301 366 427 438 511 602 854 903 1022 1281 1533 1806 2562 2623 3066 3139 4453 5246 6278 7869 8906 9417 13359 15738 18361 18834 21973 26718 31171 36722 43946 55083 62342 65919 93513 110166 131838 187026 191479 382958 574437 1148874 1340353 2680706 4021059 8042118