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507474 = 232112233
BaseRepresentation
bin1111011111001010010
3221210010100
41323321102
5112214344
614513230
74212342
oct1737122
9853110
10507474
11317300
12205816
13149ca6
14d2d22
15a0569
hex7be52

507474 has 36 divisors (see below), whose sum is σ = 1213758. Its totient is φ = 153120.

The previous prime is 507461. The next prime is 507491. The reversal of 507474 is 474705.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 27225 = 693^2 + 165^2 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 9.

It is an unprimeable number.

507474 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 17 ways as a sum of consecutive naturals, for example, 2062 + ... + 2294.

2507474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606879).

507474 is an abundant number, since it is smaller than the sum of its proper divisors (706284).

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

507474 is a wasteful number, since it uses less digits than its factorization.

507474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 507474 is about 712.3720937825. The cubic root of 507474 is about 79.7635727989.

The spelling of 507474 in words is "five hundred seven thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 233 242 363 466 699 726 1089 1398 2097 2178 2563 4194 5126 7689 15378 23067 28193 46134 56386 84579 169158 253737 507474