Search a number
-
+
8018274 = 2311313919
BaseRepresentation
bin11110100101100101100010
3120002101000010
4132211211202
54023041044
6443505350
7125103615
oct36454542
916071003
108018274
114587280
122828256
131879854
1410ca17c
15a85bb9
hex7a5962

8018274 has 32 divisors (see below), whose sum is σ = 18063360. Its totient is φ = 2350800.

The previous prime is 8018273. The next prime is 8018279. The reversal of 8018274 is 4728108.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8018273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 28018274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8018274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031680).

8018274 is an abundant number, since it is smaller than the sum of its proper divisors (10045086).

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

8018274 is a wasteful number, since it uses less digits than its factorization.

8018274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 8018274 is about 2831.6556994098. The cubic root of 8018274 is about 200.1521675292.

The spelling of 8018274 in words is "eight million, eighteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 3919 7838 11757 23514 43109 86218 121489 129327 242978 258654 364467 728934 1336379 2672758 4009137 8018274