Search a number
-
+
8286744942 = 232773900929
BaseRepresentation
bin1111011011110110…
…11011000101101110
3210101111222021000100
413231323123011232
5113432401314232
63450141411530
7412232112150
oct75573330556
923344867010
108286744942
113572719143
121733269ba6
13a20a7c898
145887caad0
1533778bc7c
hex1ededb16e

8286744942 has 48 divisors (see below), whose sum is σ = 20800671840. Its totient is φ = 2335205376.

The previous prime is 8286744941. The next prime is 8286744953. The reversal of 8286744942 is 2494476828.

8286744942 is a `hidden beast` number, since 8 + 2 + 86 + 74 + 494 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8286744941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441267 + ... + 459662.

It is an arithmetic number, because the mean of its divisors is an integer number (433347330).

Almost surely, 28286744942 is an apocalyptic number.

8286744942 is an abundant number, since it is smaller than the sum of its proper divisors (12513926898).

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

8286744942 is a wasteful number, since it uses less digits than its factorization.

8286744942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901017 (or 901014 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 8286744942 is about 91031.5601426231. The cubic root of 8286744942 is about 2023.6154691322.

The spelling of 8286744942 in words is "eight billion, two hundred eighty-six million, seven hundred forty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 3066 4599 9198 900929 1801858 2702787 5405574 6306503 8108361 12613006 16216722 18919509 37839018 56758527 65767817 113517054 131535634 197303451 394606902 460374719 591910353 920749438 1183820706 1381124157 2762248314 4143372471 8286744942