Search a number
-
+
504427572 = 2232112116037
BaseRepresentation
bin11110000100001…
…111010000110100
31022011011120112200
4132010033100310
52013113140242
6122015344500
715333364215
oct3604172064
91264146480
10504427572
112398109a0
12120b22130
138067546c
144adc940c
152e44004c
hex1e10f434

504427572 has 72 divisors (see below), whose sum is σ = 1397821152. Its totient is φ = 152107200.

The previous prime is 504427531. The next prime is 504427577. The reversal of 504427572 is 275724405.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504427577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80538 + ... + 86574.

Almost surely, 2504427572 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 504427572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698910576).

504427572 is an abundant number, since it is smaller than the sum of its proper divisors (893393580).

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

504427572 is a wasteful number, since it uses less digits than its factorization.

504427572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 504427572 is about 22459.4650871297. The cubic root of 504427572 is about 796.0364220769.

The spelling of 504427572 in words is "five hundred four million, four hundred twenty-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 844 1266 1899 2321 2532 3798 4642 6037 6963 7596 9284 12074 13926 18111 20889 24148 27852 36222 41778 54333 66407 72444 83556 108666 132814 199221 217332 265628 398442 597663 796884 1195326 1273807 2390652 2547614 3821421 5095228 7642842 11464263 14011877 15285684 22928526 28023754 42035631 45857052 56047508 84071262 126106893 168142524 252213786 504427572