Search a number
-
+
168384825 = 3452721697
BaseRepresentation
bin10100000100101…
…01100100111001
3102201211211120000
422002111210321
5321101303300
624413023213
74113150600
oct1202254471
9381754500
10168384825
118705a014
1248484b09
1328b680bb
1418512a37
15ebb1c00
hexa095939

168384825 has 90 divisors (see below), whose sum is σ = 363044286. Its totient is φ = 76930560.

The previous prime is 168384757. The next prime is 168384833. The reversal of 168384825 is 528483861.

168384825 is a `hidden beast` number, since 168 + 3 + 8 + 482 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 45441081 + 122943744 = 6741^2 + 11088^2 .

It is not a de Polignac number, because 168384825 - 213 = 168376633 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 98377 + ... + 100073.

Almost surely, 2168384825 is an apocalyptic number.

168384825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168384825 is an abundant number, since it is smaller than the sum of its proper divisors (194659461).

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

168384825 is a wasteful number, since it uses less digits than its factorization.

168384825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1712 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 168384825 is about 12976.3178521490. The cubic root of 168384825 is about 552.2058247095.

The spelling of 168384825 in words is "one hundred sixty-eight million, three hundred eighty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 1697 2025 2205 2835 3675 3969 4725 5091 6615 8485 11025 11879 14175 15273 19845 25455 33075 35637 42425 45819 59395 76365 83153 99225 106911 127275 137457 178185 229095 249459 296975 320733 381825 415765 534555 687285 748377 890925 962199 1145475 1247295 1603665 2078825 2245131 2672775 3436425 3741885 4810995 6236475 6735393 8018325 11225655 18709425 24054975 33676965 56128275 168384825