Search a number
-
+
455213556 = 2232717591801
BaseRepresentation
bin11011001000100…
…000000111110100
31011201120020121100
4123020200013310
51413013313211
6113100450100
714165152140
oct3310400764
91151506540
10455213556
11213a57756
12108549930
1373403a45
1444658220
1529e6d156
hex1b2201f4

455213556 has 144 divisors (see below), whose sum is σ = 1416804480. Its totient is φ = 120268800.

The previous prime is 455213543. The next prime is 455213567. The reversal of 455213556 is 655312554.

455213556 is a `hidden beast` number, since 45 + 52 + 13 + 556 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 455213556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251856 + ... + 253656.

It is an arithmetic number, because the mean of its divisors is an integer number (9838920).

Almost surely, 2455213556 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 455213556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708402240).

455213556 is an abundant number, since it is smaller than the sum of its proper divisors (961590924).

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

455213556 is a wasteful number, since it uses less digits than its factorization.

455213556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1889 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 455213556 is about 21335.7342503135. The cubic root of 455213556 is about 769.2574817729.

The spelling of 455213556 in words is "four hundred fifty-five million, two hundred thirteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 59 63 68 84 102 118 119 126 153 177 204 236 238 252 306 354 357 413 476 531 612 708 714 826 1003 1062 1071 1239 1428 1652 1801 2006 2124 2142 2478 3009 3602 3717 4012 4284 4956 5403 6018 7021 7204 7434 9027 10806 12036 12607 14042 14868 16209 18054 21063 21612 25214 28084 30617 32418 36108 37821 42126 50428 61234 63189 64836 75642 84252 91851 106259 113463 122468 126378 151284 183702 212518 214319 226926 252756 275553 318777 367404 425036 428638 453852 551106 637554 642957 743813 857276 956331 1102212 1275108 1285914 1487626 1806403 1912662 1928871 2231439 2571828 2975252 3612806 3825324 3857742 4462878 5419209 6694317 7225612 7715484 8925756 10838418 12644821 13388634 16257627 21676836 25289642 26777268 32515254 37934463 50579284 65030508 75868926 113803389 151737852 227606778 455213556