Search a number
-
+
474804 = 2232112109
BaseRepresentation
bin1110011111010110100
3220010022100
41303322310
5110143204
614102100
74015161
oct1637264
9803270
10474804
112a4800
121aa930
13138165
14c5068
1595a39
hex73eb4

474804 has 54 divisors (see below), whose sum is σ = 1331330. Its totient is φ = 142560.

The previous prime is 474787. The next prime is 474809. The reversal of 474804 is 408474.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 39204 = 660^2 + 198^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4302 + ... + 4410.

2474804 is an apocalyptic number.

474804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665665).

474804 is an abundant number, since it is smaller than the sum of its proper divisors (856526).

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

474804 is a wasteful number, since it uses less digits than its factorization.

474804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474804 is about 689.0602295881. The cubic root of 474804 is about 78.0138042629.

It can be divided in two parts, 47 and 4804, that added together give a triangular number (4851 = T98).

The spelling of 474804 in words is "four hundred seventy-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 121 132 198 218 242 327 363 396 436 484 654 726 981 1089 1199 1308 1452 1962 2178 2398 3597 3924 4356 4796 7194 10791 13189 14388 21582 26378 39567 43164 52756 79134 118701 158268 237402 474804