Search a number
-
+
8132493942 = 2324710195177
BaseRepresentation
bin1111001001011110…
…00000001001110110
3202222202201111102100
413210233000021312
5113123404301232
63422551322530
7405350025606
oct74457001166
922882644370
108132493942
1134a3643081
1216ab680446
139c7b22ac1
14572116c06
15328e6cc7c
hex1e4bc0276

8132493942 has 48 divisors (see below), whose sum is σ = 18173668032. Its totient is φ = 2626857600.

The previous prime is 8132493931. The next prime is 8132493947. The reversal of 8132493942 is 2493942318.

8132493942 is a `hidden beast` number, since 8 + 13 + 249 + 394 + 2 = 666.

It is a super-2 number, since 2×81324939422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132493947) 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, 37858 + ... + 133034.

It is an arithmetic number, because the mean of its divisors is an integer number (378618084).

Almost surely, 28132493942 is an apocalyptic number.

8132493942 is an abundant number, since it is smaller than the sum of its proper divisors (10041174090).

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

8132493942 is a wasteful number, since it uses less digits than its factorization.

8132493942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95333 (or 95330 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 8132493942 is about 90180.3412169193. The cubic root of 8132493942 is about 2010.9807629204.

The spelling of 8132493942 in words is "eight billion, one hundred thirty-two million, four hundred ninety-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 47 94 101 141 202 282 303 423 606 846 909 1818 4747 9494 14241 28482 42723 85446 95177 190354 285531 571062 856593 1713186 4473319 8946638 9612877 13419957 19225754 26839914 28838631 40259871 57677262 80519742 86515893 173031786 451805219 903610438 1355415657 2710831314 4066246971 8132493942