Search a number
-
+
245623482 = 233134379103
BaseRepresentation
bin11101010001111…
…10101010111010
3122010011222002000
432220332222322
51000334422412
640212321430
76041523306
oct1650765272
9563158060
10245623482
11116714615
126a313276
133bb6c650
142489ad06
151686c4dc
hexea3eaba

245623482 has 128 divisors (see below), whose sum is σ = 615014400. Its totient is φ = 72176832.

The previous prime is 245623481. The next prime is 245623489. The reversal of 245623482 is 284326542.

245623482 is a `hidden beast` number, since 24 + 5 + 623 + 4 + 8 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (245623481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2384643 + ... + 2384745.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2245623482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245623482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307507200).

245623482 is an abundant number, since it is smaller than the sum of its proper divisors (369390918).

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

245623482 is a wasteful number, since it uses less digits than its factorization.

245623482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 245623482 is about 15672.3795895837. The cubic root of 245623482 is about 626.2628180531.

The spelling of 245623482 in words is "two hundred forty-five million, six hundred twenty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 79 86 103 117 129 158 206 234 237 258 309 351 387 474 559 618 702 711 774 927 1027 1118 1161 1339 1422 1677 1854 2054 2133 2322 2678 2781 3081 3354 3397 4017 4266 4429 5031 5562 6162 6794 8034 8137 8858 9243 10062 10191 12051 13287 15093 16274 18486 20382 24102 24411 26574 27729 30186 30573 36153 39861 44161 48822 55458 57577 61146 72306 73233 79722 88322 91719 105781 115154 119583 132483 146466 172731 183438 211562 219699 239166 264966 317343 345462 349891 397449 439398 518193 634686 699782 794898 952029 1036386 1049673 1192347 1554579 1904058 2099346 2384694 2856087 3109158 3149019 4548583 5712174 6298038 9097166 9447057 13645749 18894114 27291498 40937247 81874494 122811741 245623482