Search a number
-
+
471842010 = 234519233143
BaseRepresentation
bin11100000111111…
…011110011011010
31012212212001120000
4130013323303122
51431242421020
6114453113430
714456406453
oct3407736332
91185761500
10471842010
11222384982
12112028876
13769a6673
144694612a
152b655090
hex1c1fbcda

471842010 has 320 divisors, whose sum is σ = 1471979520. Its totient is φ = 107775360.

The previous prime is 471841999. The next prime is 471842011. The reversal of 471842010 is 10248174.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471842011) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10973049 + ... + 10973091.

It is an arithmetic number, because the mean of its divisors is an integer number (4599936).

Almost surely, 2471842010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471842010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735989760).

471842010 is an abundant number, since it is smaller than the sum of its proper divisors (1000137510).

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

471842010 is a wasteful number, since it uses less digits than its factorization.

471842010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 471842010 is about 21721.9246384845. The cubic root of 471842010 is about 778.5124013751.

It can be divided in two parts, 47184 and 2010, that added together give a palindrome (49194).

The spelling of 471842010 in words is "four hundred seventy-one million, eight hundred forty-two thousand, ten".