Search a number
-
+
82424916 = 223272314221
BaseRepresentation
bin1001110100110…
…11010001010100
312202002121201200
410322123101110
5132100044131
612102352500
72020412610
oct472332124
9182077650
1082424916
1142588072
122372b730
13140cc052
14ad38340
1573822e6
hex4e9b454

82424916 has 72 divisors (see below), whose sum is σ = 248486784. Its totient is φ = 22524480.

The previous prime is 82424861. The next prime is 82424917. The reversal of 82424916 is 61942428.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82424917) 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 23 ways as a sum of consecutive naturals, for example, 1315 + ... + 12906.

Almost surely, 282424916 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 82424916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124243392).

82424916 is an abundant number, since it is smaller than the sum of its proper divisors (166061868).

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

82424916 is a wasteful number, since it uses less digits than its factorization.

82424916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14261 (or 14256 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82424916 is about 9078.8168832728. The cubic root of 82424916 is about 435.1972787302.

The spelling of 82424916 in words is "eighty-two million, four hundred twenty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 14221 28442 42663 56884 85326 99547 127989 170652 199094 255978 298641 327083 398188 511956 597282 654166 895923 981249 1194564 1308332 1791846 1962498 2289581 2943747 3583692 3924996 4579162 5887494 6868743 9158324 11774988 13737486 20606229 27474972 41212458 82424916