Search a number
-
+
505250244 = 223337227557
BaseRepresentation
bin11110000111011…
…000000111000100
31022012201101001000
4132013120013010
52013321001434
6122045133300
715343361532
oct3607300704
91265641030
10505250244
1123a222a94
1212125a230
13808a2a55
144b161152
152e553b99
hex1e1d81c4

505250244 has 96 divisors (see below), whose sum is σ = 1353663360. Its totient is φ = 162850176.

The previous prime is 505250243. The next prime is 505250287. The reversal of 505250244 is 442052505.

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 (505250243) 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 31 ways as a sum of consecutive naturals, for example, 906814 + ... + 907370.

It is an arithmetic number, because the mean of its divisors is an integer number (14100660).

Almost surely, 2505250244 is an apocalyptic number.

505250244 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505250244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676831680).

505250244 is an abundant number, since it is smaller than the sum of its proper divisors (848413116).

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

505250244 is a wasteful number, since it uses less digits than its factorization.

505250244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 505250244 is about 22477.7722205738. The cubic root of 505250244 is about 796.4689395288.

The spelling of 505250244 in words is "five hundred five million, two hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 227 333 444 454 557 666 681 908 999 1114 1332 1362 1671 1998 2043 2228 2724 3342 3996 4086 5013 6129 6684 8172 8399 10026 12258 15039 16798 20052 20609 24516 25197 30078 33596 41218 50394 60156 61827 75591 82436 100788 123654 126439 151182 185481 226773 247308 252878 302364 370962 379317 453546 505756 556443 741924 758634 907092 1112886 1137951 1517268 2225772 2275902 3413853 4551804 4678243 6827706 9356486 13655412 14034729 18712972 28069458 42104187 56138916 84208374 126312561 168416748 252625122 505250244