Search a number
-
+
75171042 = 232171671471
BaseRepresentation
bin1000111101100…
…00010011100010
312020110002021200
410132300103202
5123220433132
611243102030
71601641362
oct436602342
9166402250
1075171042
1139483131
1221211916
131275c40b
149daa9a2
1568ecd7c
hex47b04e2

75171042 has 48 divisors (see below), whose sum is σ = 173601792. Its totient is φ = 23425920.

The previous prime is 75171029. The next prime is 75171043. The reversal of 75171042 is 24017157.

It is a junction number, because it is equal to n+sod(n) for n = 75170997 and 75171015.

It is not an unprimeable number, because it can be changed into a prime (75171043) 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, 50367 + ... + 51837.

It is an arithmetic number, because the mean of its divisors is an integer number (3616704).

Almost surely, 275171042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75171042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800896).

75171042 is an abundant number, since it is smaller than the sum of its proper divisors (98430750).

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

75171042 is a wasteful number, since it uses less digits than its factorization.

75171042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 75171042 is about 8670.1235285318. The cubic root of 75171042 is about 422.0366723893.

Adding to 75171042 its reverse (24017157), we get a palindrome (99188199).

The spelling of 75171042 in words is "seventy-five million, one hundred seventy-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 167 306 334 501 1002 1471 1503 2839 2942 3006 4413 5678 8517 8826 13239 17034 25007 25551 26478 50014 51102 75021 150042 225063 245657 450126 491314 736971 1473942 2210913 4176169 4421826 8352338 12528507 25057014 37585521 75171042