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474474 = 237111379
BaseRepresentation
bin1110011110101101010
3220002212010
41303311222
5110140344
614100350
74014210
oct1636552
9802763
10474474
112a4530
121aa6b6
13137c70
14c4cb0
15958b9
hex73d6a

474474 has 64 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 112320.

The previous prime is 474443. The next prime is 474479.

474474 is nontrivially palindromic in base 10.

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 474474.

It is not an unprimeable number, because it can be changed into a prime (474479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5967 + ... + 6045.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2474474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

474474 is an abundant number, since it is smaller than the sum of its proper divisors (815766).

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

474474 is a wasteful number, since it uses less digits than its factorization.

474474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its digits is 12544, while the sum is 30.

The square root of 474474 is about 688.8207313953. The cubic root of 474474 is about 77.9957262616.

The spelling of 474474 in words is "four hundred seventy-four thousand, four hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 79 91 143 154 158 182 231 237 273 286 429 462 474 546 553 858 869 1001 1027 1106 1659 1738 2002 2054 2607 3003 3081 3318 5214 6006 6083 6162 7189 11297 12166 14378 18249 21567 22594 33891 36498 43134 67782 79079 158158 237237 474474