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182831985 = 355723783
BaseRepresentation
bin10101110010111…
…00101101110001
3110202000211100000
422321130231301
5333301110420
630050420213
74350021600
oct1271345561
9422024300
10182831985
1194227416
1251291669
132bb55c0b
141a3d3a37
15110b7690
hexae5cb71

182831985 has 144 divisors (see below), whose sum is σ = 397365696. Its totient is φ = 80341632.

The previous prime is 182831983. The next prime is 182831993. The reversal of 182831985 is 589138281.

It is a happy number.

It is not a de Polignac number, because 182831985 - 21 = 182831983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (138240) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 182831985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182831983) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2202754 + ... + 2202836.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484).

Almost surely, 2182831985 is an apocalyptic number.

182831985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182831985 is an abundant number, since it is smaller than the sum of its proper divisors (214533711).

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

182831985 is an equidigital number, since it uses as much as digits as its factorization.

182831985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 182831985 is about 13521.5378193458. The cubic root of 182831985 is about 567.5673333783.

The spelling of 182831985 in words is "one hundred eighty-two million, eight hundred thirty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 49 63 81 83 105 111 135 147 185 189 243 245 249 259 315 333 405 415 441 555 567 581 735 747 777 945 999 1215 1245 1295 1323 1665 1701 1743 1813 2205 2241 2331 2835 2905 2997 3071 3735 3885 3969 4067 4995 5229 5439 6615 6723 6993 8505 8715 8991 9065 9213 11205 11655 11907 12201 14985 15355 15687 16317 19845 20169 20335 20979 21497 26145 27195 27639 33615 34965 36603 44955 46065 47061 48951 59535 61005 62937 64491 78435 81585 82917 100845 104895 107485 109809 138195 141183 146853 150479 183015 193473 235305 244755 248751 314685 322455 329427 414585 440559 451437 549045 580419 705915 734265 746253 752395 967365 988281 1243755 1354311 1647135 1741257 2202795 2257185 2902095 3731265 4062933 4941405 5223771 6771555 8706285 12188799 20314665 26118855 36566397 60943995 182831985