Search a number
-
+
81474224 = 24132291039
BaseRepresentation
bin1001101101100…
…11001010110000
312200022022121212
410312303022300
5131324133344
612030135252
72006343116
oct466631260
9180268555
1081474224
1141a98877
1223351528
1313b58400
14ab6bab6
15724579e
hex4db32b0

81474224 has 60 divisors (see below), whose sum is σ = 176997600. Its totient is φ = 36271872.

The previous prime is 81474191. The next prime is 81474227. The reversal of 81474224 is 42247418.

It is not an unprimeable number, because it can be changed into a prime (81474227) 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 11 ways as a sum of consecutive naturals, for example, 77897 + ... + 78935.

It is an arithmetic number, because the mean of its divisors is an integer number (2949960).

Almost surely, 281474224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81474224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88498800).

81474224 is an abundant number, since it is smaller than the sum of its proper divisors (95523376).

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

81474224 is a wasteful number, since it uses less digits than its factorization.

81474224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1083 counting only the distinct ones).

The product of its digits is 14336, while the sum is 32.

The square root of 81474224 is about 9026.3073291352. The cubic root of 81474224 is about 433.5176105130.

The spelling of 81474224 in words is "eighty-one million, four hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1039 1352 1508 2078 2704 3016 4156 4901 6032 8312 9802 13507 16624 19604 27014 30131 39208 54028 60262 78416 108056 120524 175591 216112 241048 351182 391703 482096 702364 783406 1404728 1566812 2809456 3133624 5092139 6267248 10184278 20368556 40737112 81474224