Search a number
-
+
504007056 = 24337166669
BaseRepresentation
bin11110000010101…
…000100110010000
31022010101012201000
4132002220212100
52013011211211
6122002342000
715326663220
oct3602504620
91263335630
10504007056
11239553a63
1212095a900
1380558c37
144ad1a080
152e3aa656
hex1e0a8990

504007056 has 80 divisors (see below), whose sum is σ = 1653366400. Its totient is φ = 144001152.

The previous prime is 504007043. The next prime is 504007057. The reversal of 504007056 is 650700405.

It is a super-2 number, since 2×5040070562 = 508046224995574272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (504007057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80311 + ... + 86358.

It is an arithmetic number, because the mean of its divisors is an integer number (20667080).

Almost surely, 2504007056 is an apocalyptic number.

504007056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

504007056 is an abundant number, since it is smaller than the sum of its proper divisors (1149359344).

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

504007056 is a wasteful number, since it uses less digits than its factorization.

504007056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166693 (or 166681 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 504007056 is about 22450.1014697039. The cubic root of 504007056 is about 795.8151553487.

The spelling of 504007056 in words is "five hundred four million, seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 166669 333338 500007 666676 1000014 1166683 1333352 1500021 2000028 2333366 2666704 3000042 3500049 4000056 4500063 4666732 6000084 7000098 8000112 9000126 9333464 10500147 12000168 14000196 18000252 18666928 21000294 24000336 28000392 31500441 36000504 42000588 56000784 63000882 72001008 84001176 126001764 168002352 252003528 504007056