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168516852 = 223717196211
BaseRepresentation
bin10100000101101…
…01110011110100
3102202002112122220
422002311303310
5321120014402
624415522340
74114240530
oct1202656364
9382075586
10168516852
118713a229
12485293b0
1328bb321a
1418548bc0
15ebdadbc
hexa0b5cf4

168516852 has 96 divisors (see below), whose sum is σ = 500935680. Its totient is φ = 42923520.

The previous prime is 168516841. The next prime is 168516857. The reversal of 168516852 is 258615861.

168516852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168516857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24027 + ... + 30237.

It is an arithmetic number, because the mean of its divisors is an integer number (5218080).

Almost surely, 2168516852 is an apocalyptic number.

168516852 is a gapful number since it is divisible by the number (12) 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 168516852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250467840).

168516852 is an abundant number, since it is smaller than the sum of its proper divisors (332418828).

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

168516852 is a wasteful number, since it uses less digits than its factorization.

168516852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6259 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 168516852 is about 12981.4040843046. The cubic root of 168516852 is about 552.3501113299.

Subtracting 168516852 from its reverse (258615861), we obtain a palindrome (90099009).

The spelling of 168516852 in words is "one hundred sixty-eight million, five hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1292 1428 1596 1938 2261 3876 4522 6211 6783 9044 12422 13566 18633 24844 27132 37266 43477 74532 86954 105587 118009 130431 173908 211174 236018 260862 316761 354027 422348 472036 521724 633522 708054 739109 826063 1267044 1416108 1478218 1652126 2006153 2217327 2478189 2956436 3304252 4012306 4434654 4956378 6018459 8024612 8869308 9912756 12036918 14043071 24073836 28086142 42129213 56172284 84258426 168516852