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505238472 = 23348832
BaseRepresentation
bin11110000111010…
…101001111001000
31022012200202220000
4132013111033020
52013320112342
6122045003000
715343312314
oct3607251710
91265622800
10505238472
1123a215162
12121253460
138089a59b
144b15ab44
152e55044c
hex1e1d53c8

505238472 has 60 divisors (see below), whose sum is σ = 1416739995. Its totient is φ = 168222096.

The previous prime is 505238467. The next prime is 505238473. The reversal of 505238472 is 274832505.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

505238472 is a `hidden beast` number, since 50 + 523 + 84 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 252619236 + 252619236 = 15894^2 + 15894^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15894.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (505238473) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 571743 + ... + 572625.

Almost surely, 2505238472 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 505238472

505238472 is an abundant number, since it is smaller than the sum of its proper divisors (911501523).

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

505238472 is an frugal number, since it uses more digits than its factorization.

505238472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 505238472 is about 22477.5103603580. The cubic root of 505238472 is about 796.4627537458.

The spelling of 505238472 in words is "five hundred five million, two hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 883 1766 2649 3532 5298 7064 7947 10596 15894 21192 23841 31788 47682 63576 71523 95364 143046 190728 286092 572184 779689 1559378 2339067 3118756 4678134 6237512 7017201 9356268 14034402 18712536 21051603 28068804 42103206 56137608 63154809 84206412 126309618 168412824 252619236 505238472