[go: up one dir, main page]

Search a number
-
+
473148 = 223313337
BaseRepresentation
bin1110011100000111100
3220001001000
41303200330
5110120043
614050300
74010304
oct1634074
9801030
10473148
112a3535
121a9990
13137490
14c4604
15952d3
hex7383c

473148 has 48 divisors (see below), whose sum is σ = 1324960. Its totient is φ = 145152.

The previous prime is 473147. The next prime is 473159. The reversal of 473148 is 841374.

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

It is a zygodrome in base 2.

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 473148.

It is not an unprimeable number, because it can be changed into a prime (473141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236 + ... + 1572.

2473148 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 473148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662480).

473148 is an abundant number, since it is smaller than the sum of its proper divisors (851812).

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

473148 is a wasteful number, since it uses less digits than its factorization.

473148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 473148 is about 687.8575433911. The cubic root of 473148 is about 77.9230009371.

The spelling of 473148 in words is "four hundred seventy-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 337 351 468 674 702 1011 1348 1404 2022 3033 4044 4381 6066 8762 9099 12132 13143 17524 18198 26286 36396 39429 52572 78858 118287 157716 236574 473148