Search a number
-
+
168426288 = 24321169627
BaseRepresentation
bin10100000100111…
…11101100110000
3102201220221102200
422002133230300
5321104120123
624413543200
74113412512
oct1202375460
9381827380
10168426288
1187088188
12484a4b00
1328b80c34
1418523bb2
15ebbe143
hexa09fb30

168426288 has 30 divisors (see below), whose sum is σ = 471360084. Its totient is φ = 56142048.

The previous prime is 168426233. The next prime is 168426289. The reversal of 168426288 is 882624861.

It can be divided in two parts, 1684 and 26288, that added together give a palindrome (27972).

168426288 is a `hidden beast` number, since 16 + 8 + 4 + 2 + 628 + 8 = 666.

It is a super-3 number, since 3×1684262883 (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (168426289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 584670 + ... + 584957.

Almost surely, 2168426288 is an apocalyptic number.

168426288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168426288 is an abundant number, since it is smaller than the sum of its proper divisors (302933796).

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

168426288 is a wasteful number, since it uses less digits than its factorization.

168426288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169641 (or 1169632 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 168426288 is about 12977.9153950086. The cubic root of 168426288 is about 552.2511459571.

The spelling of 168426288 in words is "one hundred sixty-eight million, four hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1169627 2339254 3508881 4678508 7017762 9357016 10526643 14035524 18714032 21053286 28071048 42106572 56142096 84213144 168426288