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245429982 = 23274397467
BaseRepresentation
bin11101010000011…
…11011011011110
3122002211010122100
432220033123132
51000312224412
640204225530
76040056210
oct1650173336
9562733570
10245429982
111165a21a6
126a23b2a6
133bb02555
142484a5b0
151682eedc
hexea0f6de

245429982 has 96 divisors (see below), whose sum is σ = 629620992. Its totient is φ = 67640832.

The previous prime is 245429971. The next prime is 245429999. The reversal of 245429982 is 289924542.

245429982 is a `hidden beast` number, since 24 + 542 + 9 + 9 + 82 = 666.

245429982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 525313 + ... + 525779.

It is an arithmetic number, because the mean of its divisors is an integer number (6558552).

Almost surely, 2245429982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245429982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314810496).

245429982 is an abundant number, since it is smaller than the sum of its proper divisors (384191010).

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

245429982 is a wasteful number, since it uses less digits than its factorization.

245429982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 619 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 245429982 is about 15666.2050924913. The cubic root of 245429982 is about 626.0983200849.

The spelling of 245429982 in words is "two hundred forty-five million, four hundred twenty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 97 126 129 194 258 291 301 387 467 582 602 679 774 873 903 934 1358 1401 1746 1806 2037 2709 2802 3269 4074 4171 4203 5418 6111 6538 8342 8406 9807 12222 12513 19614 20081 25026 29197 29421 37539 40162 45299 58394 58842 60243 75078 87591 90598 120486 135897 140567 175182 180729 262773 271794 281134 317093 361458 407691 421701 525546 634186 815382 843402 951279 1265103 1902558 1947857 2530206 2853837 3895714 5707674 5843571 11687142 13634999 17530713 27269998 35061426 40904997 81809994 122714991 245429982