Search a number
-
+
491223852 = 22347593671
BaseRepresentation
bin11101010001110…
…111101100101100
31021020022202110000
4131101313230230
52001223130402
6120424344300
715113222340
oct3521675454
91236282400
10491223852
11232312829
12118615090
137aa01602
144934d620
152d1d2c1c
hex1d477b2c

491223852 has 120 divisors (see below), whose sum is σ = 1492888320. Its totient is φ = 137933280.

The previous prime is 491223847. The next prime is 491223893. The reversal of 491223852 is 258322194.

It is a happy number.

It is a super-4 number, since 4×4912238524 (a number of 36 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131977 + ... + 135647.

It is an arithmetic number, because the mean of its divisors is an integer number (12440736).

Almost surely, 2491223852 is an apocalyptic number.

491223852 is a gapful number since it is divisible by the number (42) 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 491223852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

491223852 is an abundant number, since it is smaller than the sum of its proper divisors (1001664468).

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

491223852 is a wasteful number, since it uses less digits than its factorization.

491223852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3742 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 491223852 is about 22163.5703802433. The cubic root of 491223852 is about 789.0293328597.

The spelling of 491223852 in words is "four hundred ninety-one million, two hundred twenty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 162 177 189 236 252 324 354 378 413 531 567 708 756 826 1062 1134 1239 1593 1652 2124 2268 2478 3186 3671 3717 4779 4956 6372 7342 7434 9558 11013 11151 14684 14868 19116 22026 22302 25697 33039 33453 44052 44604 51394 66078 66906 77091 99117 102788 132156 133812 154182 198234 216589 231273 297351 308364 396468 433178 462546 594702 649767 693819 866356 925092 1189404 1299534 1387638 1516123 1949301 2081457 2599068 2775276 3032246 3898602 4162914 4548369 5847903 6064492 7797204 8325828 9096738 11695806 13645107 17543709 18193476 23391612 27290214 35087418 40935321 54580428 70174836 81870642 122805963 163741284 245611926 491223852