Search a number
-
+
75442131 = 336834091
BaseRepresentation
bin1000111111100…
…10011111010011
312020221212011000
410133302133103
5123303122011
611252553043
71604150622
oct437623723
9166855130
1075442131
1139648876
1221322783
131282591b
14a03b6b9
156953356
hex47f27d3

75442131 has 16 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 50208840.

The previous prime is 75442123. The next prime is 75442151. The reversal of 75442131 is 13124457.

It is not a de Polignac number, because 75442131 - 23 = 75442123 is a prime.

It is a super-2 number, since 2×754421312 = 11383030259642322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75442095 and 75442104.

It is not an unprimeable number, because it can be changed into a prime (75442121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16396 + ... + 20486.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 275442131 is an apocalyptic number.

75442131 is a deficient number, since it is larger than the sum of its proper divisors (36514989).

75442131 is a wasteful number, since it uses less digits than its factorization.

75442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4777 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 75442131 is about 8685.7429734019. The cubic root of 75442131 is about 422.5433934166.

Adding to 75442131 its reverse (13124457), we get a palindrome (88566588).

The spelling of 75442131 in words is "seventy-five million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 683 2049 4091 6147 12273 18441 36819 110457 2794153 8382459 25147377 75442131