Search a number
-
+
472104 = 23327983
BaseRepresentation
bin1110011010000101000
3212222121100
41303100220
5110101404
614041400
74004253
oct1632050
9788540
10472104
112a2776
121a9260
13136b69
14c409a
1594d39
hex73428

472104 has 48 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 153504.

The previous prime is 472103. The next prime is 472111. The reversal of 472104 is 401274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472104.

It is not an unprimeable number, because it can be changed into a prime (472103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5647 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2472104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

472104 is an abundant number, since it is smaller than the sum of its proper divisors (838296).

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

472104 is a wasteful number, since it uses less digits than its factorization.

472104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 472104 is about 687.0982462501. The cubic root of 472104 is about 77.8656464233.

Adding to 472104 its reverse (401274), we get a palindrome (873378).

It can be divided in two parts, 472 and 104, that added together give a square (576 = 242).

The spelling of 472104 in words is "four hundred seventy-two thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 83 158 166 237 249 316 332 474 498 632 664 711 747 948 996 1422 1494 1896 1992 2844 2988 5688 5976 6557 13114 19671 26228 39342 52456 59013 78684 118026 157368 236052 472104