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450248092 = 2271923311187
BaseRepresentation
bin11010110101100…
…011110110011100
31011101012222021021
4122311203312130
51410230414332
6112402213524
714105021440
oct3265436634
91141188237
10450248092
11211176068
121069542a4
13723858b8
1443b24820
15297dbc97
hex1ad63d9c

450248092 has 96 divisors (see below), whose sum is σ = 1021870080. Its totient is φ = 169076160.

The previous prime is 450248087. The next prime is 450248129. The reversal of 450248092 is 290842054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378723 + ... + 379909.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2450248092 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 450248092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510935040).

450248092 is an abundant number, since it is smaller than the sum of its proper divisors (571621988).

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

450248092 is a wasteful number, since it uses less digits than its factorization.

450248092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 450248092 is about 21219.0502143710. The cubic root of 450248092 is about 766.4502326251.

The spelling of 450248092 in words is "four hundred fifty million, two hundred forty-eight thousand, ninety-two".

Divisors: 1 2 4 7 14 19 23 28 31 38 46 62 76 92 124 133 161 217 266 322 434 437 532 589 644 713 868 874 1178 1187 1426 1748 2356 2374 2852 3059 4123 4748 4991 6118 8246 8309 9982 12236 13547 16492 16618 19964 22553 27094 27301 33236 36797 45106 54188 54602 73594 90212 94829 109204 147188 157871 189658 191107 257579 315742 379316 382214 515158 518719 631484 699143 764428 846331 1030316 1037438 1398286 1692662 2074876 2796572 3385324 3631033 4894001 5924317 7262066 9788002 11848634 14524132 16080289 19576004 23697268 32160578 64321156 112562023 225124046 450248092