Search a number
-
+
81788148 = 223213174761
BaseRepresentation
bin1001101111111…
…11110011110100
312200220021020200
410313333303310
5131414210043
612041000500
72012121261
oct467776364
9180807220
1081788148
1142192712
1223483130
1313c38270
14ac10268
1572a87d3
hex4dffcf4

81788148 has 36 divisors (see below), whose sum is σ = 222646788. Its totient is φ = 25165440.

The previous prime is 81788123. The next prime is 81788171. The reversal of 81788148 is 84188718.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 75377124 = 2532^2 + 8682^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86913 + ... + 87848.

It is an arithmetic number, because the mean of its divisors is an integer number (6184633).

Almost surely, 281788148 is an apocalyptic number.

It is an amenable number.

81788148 is an abundant number, since it is smaller than the sum of its proper divisors (140858640).

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

81788148 is a wasteful number, since it uses less digits than its factorization.

81788148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174784 (or 174779 counting only the distinct ones).

The product of its digits is 114688, while the sum is 45.

The square root of 81788148 is about 9043.6800031845. The cubic root of 81788148 is about 434.0736848140.

The spelling of 81788148 in words is "eighty-one million, seven hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 174761 349522 524283 699044 1048566 1572849 2097132 2271893 3145698 4543786 6291396 6815679 9087572 13631358 20447037 27262716 40894074 81788148