Search a number
-
+
471048 = 233191033
BaseRepresentation
bin1110011000000001000
3212221011020
41303000020
5110033143
614032440
74001214
oct1630010
9787136
10471048
112a19a6
121a8720
13136536
14c3944
1594883
hex73008

471048 has 32 divisors (see below), whose sum is σ = 1240800. Its totient is φ = 148608.

The previous prime is 471041. The next prime is 471061. The reversal of 471048 is 840174.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 471048.

It is not an unprimeable number, because it can be changed into a prime (471041) by changing a digit.

471048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (38775).

2471048 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 471048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620400).

471048 is an abundant number, since it is smaller than the sum of its proper divisors (769752).

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

471048 is a wasteful number, since it uses less digits than its factorization.

471048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 471048 is about 686.3293669952. The cubic root of 471048 is about 77.8075465791.

The spelling of 471048 in words is "four hundred seventy-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1033 2066 3099 4132 6198 8264 12396 19627 24792 39254 58881 78508 117762 157016 235524 471048