Search a number
-
+
505494072 = 233253139953
BaseRepresentation
bin11110001000010…
…011101000111000
31022020011202111200
4132020103220320
52013401302242
6122054254200
715345425436
oct3610235070
91266152450
10505494072
1123a37a1a6
12121357360
1380959a25
144b1c5d56
152e5a104c
hex1e213a38

505494072 has 96 divisors (see below), whose sum is σ = 1406386800. Its totient is φ = 163957248.

The previous prime is 505494053. The next prime is 505494089. The reversal of 505494072 is 270494505.

505494072 is a `hidden beast` number, since 5 + 0 + 549 + 40 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 529948 + ... + 530900.

Almost surely, 2505494072 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 505494072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703193400).

505494072 is an abundant number, since it is smaller than the sum of its proper divisors (900892728).

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

505494072 is a wasteful number, since it uses less digits than its factorization.

505494072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 505494072 is about 22483.1953245085. The cubic root of 505494072 is about 796.5970411969.

The spelling of 505494072 in words is "five hundred five million, four hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 139 159 212 278 318 417 424 477 556 636 834 953 954 1112 1251 1272 1668 1906 1908 2502 2859 3336 3812 3816 5004 5718 7367 7624 8577 10008 11436 14734 17154 22101 22872 29468 34308 44202 50509 58936 66303 68616 88404 101018 132467 132606 151527 176808 202036 264934 265212 303054 397401 404072 454581 529868 530424 606108 794802 909162 1059736 1192203 1212216 1589604 1818324 2384406 3179208 3636648 4768812 7020751 9537624 14041502 21062253 28083004 42124506 56166008 63186759 84249012 126373518 168498024 252747036 505494072