Search a number
-
+
4142916 = 2232157733
BaseRepresentation
bin1111110011011101000100
321210111000100
433303131010
52030033131
6224444100
750133321
oct17633504
97714010
104142916
11237a6a8
121479630
13b2093b
1479bb48
1556c7e6
hex3f3744

4142916 has 36 divisors (see below), whose sum is σ = 10553452. Its totient is φ = 1370304.

The previous prime is 4142903. The next prime is 4142939. The reversal of 4142916 is 6192414.

It can be written as a sum of positive squares in 2 ways, for example, as 2924100 + 1218816 = 1710^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4142916.

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 11 ways as a sum of consecutive naturals, for example, 5286 + ... + 6018.

Almost surely, 24142916 is an apocalyptic number.

It is an amenable number.

4142916 is an abundant number, since it is smaller than the sum of its proper divisors (6410536).

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

4142916 is a wasteful number, since it uses less digits than its factorization.

4142916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4142916 is about 2035.4154367106. The cubic root of 4142916 is about 160.6085677649.

The spelling of 4142916 in words is "four million, one hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 733 942 1413 1466 1884 2199 2826 2932 4398 5652 6597 8796 13194 26388 115081 230162 345243 460324 690486 1035729 1380972 2071458 4142916