Search a number
-
+
181356552 = 233213193757
BaseRepresentation
bin10101100111101…
…00100000001000
3110122020212102100
422303310200020
5332411402202
625555033400
74331335206
oct1263644010
9418225370
10181356552
1193409953
125089b860
132b75a490
141a12c076
1510dc541c
hexacf4808

181356552 has 48 divisors (see below), whose sum is σ = 528959340. Its totient is φ = 55801728.

The previous prime is 181356551. The next prime is 181356559. The reversal of 181356552 is 255653181.

It is a happy number.

181356552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166564836 + 14791716 = 12906^2 + 3846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (181356551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95943 + ... + 97814.

Almost surely, 2181356552 is an apocalyptic number.

181356552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181356552 is an abundant number, since it is smaller than the sum of its proper divisors (347602788).

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

181356552 is a wasteful number, since it uses less digits than its factorization.

181356552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193782 (or 193775 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 181356552 is about 13466.8686783528. The cubic root of 181356552 is about 566.0364737366.

The spelling of 181356552 in words is "one hundred eighty-one million, three hundred fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 193757 387514 581271 775028 1162542 1550056 1743813 2325084 2518841 3487626 4650168 5037682 6975252 7556523 10075364 13950504 15113046 20150728 22669569 30226092 45339138 60452184 90678276 181356552