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168533838 = 2331119109137
BaseRepresentation
bin10100000101110…
…01111101001110
3102202010101222000
422002321331032
5321121040323
624420133130
74114341204
oct1202717516
9382111860
10168533838
1187150a70
12485371a6
1328bbab85
1418551074
15ebe0e43
hexa0b9f4e

168533838 has 128 divisors (see below), whose sum is σ = 437184000. Its totient is φ = 47589120.

The previous prime is 168533803. The next prime is 168533839. The reversal of 168533838 is 838335861.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 168533793 and 168533802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168533839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230106 + ... + 1230242.

It is an arithmetic number, because the mean of its divisors is an integer number (3415500).

Almost surely, 2168533838 is an apocalyptic number.

168533838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168533838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592000).

168533838 is an abundant number, since it is smaller than the sum of its proper divisors (268650162).

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

168533838 is a wasteful number, since it uses less digits than its factorization.

168533838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 168533838 is about 12982.0583113773. The cubic root of 168533838 is about 552.3686691253.

The spelling of 168533838 in words is "one hundred sixty-eight million, five hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 109 114 137 171 198 209 218 274 297 327 342 411 418 513 594 627 654 822 981 1026 1199 1233 1254 1507 1881 1962 2071 2398 2466 2603 2943 3014 3597 3699 3762 4142 4521 5206 5643 5886 6213 7194 7398 7809 9042 10791 11286 12426 13563 14933 15618 18639 21582 22781 23427 27126 28633 29866 32373 37278 40689 44799 45562 46854 55917 57266 64746 68343 70281 81378 85899 89598 111834 134397 136686 140562 164263 171798 205029 257697 268794 283727 328526 403191 410058 492789 515394 567454 615087 773091 806382 851181 985578 1230174 1478367 1546182 1702362 2553543 2956734 3120997 4435101 5107086 6241994 7660629 8870202 9362991 15321258 18725982 28088973 56177946 84266919 168533838