Search a number
-
+
83742036 = 22373132159
BaseRepresentation
bin1001111110111…
…00110101010100
312211120112110220
410333130311110
5132414221121
612150514340
72034536610
oct477346524
9184515426
1083742036
11432a76a4
12240659b0
1314470701
14b19c340
1575426c6
hex4fdcd54

83742036 has 48 divisors (see below), whose sum is σ = 230522880. Its totient is φ = 23153760.

The previous prime is 83742019. The next prime is 83742041. The reversal of 83742036 is 63024738.

It is a junction number, because it is equal to n+sod(n) for n = 83741988 and 83742006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13476 + ... + 18683.

It is an arithmetic number, because the mean of its divisors is an integer number (4802560).

Almost surely, 283742036 is an apocalyptic number.

It is an amenable number.

83742036 is an abundant number, since it is smaller than the sum of its proper divisors (146780844).

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

83742036 is a wasteful number, since it uses less digits than its factorization.

83742036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32204 (or 32202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 83742036 is about 9151.0674787153. The cubic root of 83742036 is about 437.5031375013.

The spelling of 83742036 in words is "eighty-three million, seven hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 32159 64318 96477 128636 192954 225113 385908 450226 675339 900452 996929 1350678 1993858 2701356 2990787 3987716 5981574 6978503 11963148 13957006 20935509 27914012 41871018 83742036