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504420112 = 24723717389
BaseRepresentation
bin11110000100001…
…101011100010000
31022011011012022101
4132010031130100
52013112420422
6122015250144
715333333400
oct3604153420
91264135271
10504420112
11239806329
12120b19954
1380671c51
144adc6800
152e43cc27
hex1e10d710

504420112 has 60 divisors (see below), whose sum is σ = 1167668940. Its totient is φ = 210325248.

The previous prime is 504420097. The next prime is 504420157. The reversal of 504420112 is 211024405.

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 111429136 = 19824^2 + 10556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 504420112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20314 + ... + 37702.

It is an arithmetic number, because the mean of its divisors is an integer number (19461149).

Almost surely, 2504420112 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 504420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583834470).

504420112 is an abundant number, since it is smaller than the sum of its proper divisors (663248828).

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

504420112 is a wasteful number, since it uses less digits than its factorization.

504420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 504420112 is about 22459.2990095417. The cubic root of 504420112 is about 796.0324978525.

Adding to 504420112 its reverse (211024405), we get a palindrome (715444517).

The spelling of 504420112 in words is "five hundred four million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 2072 3626 4144 7252 14504 17389 29008 34778 69556 121723 139112 243446 278224 486892 643393 852061 973784 1286786 1704122 1947568 2573572 3408244 4503751 5147144 6816488 9007502 10294288 13632976 18015004 31526257 36030008 63052514 72060016 126105028 252210056 504420112