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402499242 = 232171399463
BaseRepresentation
bin10111111111011…
…010011010101010
31001001101002011100
4113333122122222
51311014433432
6103534542230
712655121115
oct2777323252
91031332140
10402499242
11197222702
12b2967976
1365508042
143b65557c
152550907c
hex17fda6aa

402499242 has 48 divisors (see below), whose sum is σ = 930121920. Its totient is φ = 125352576.

The previous prime is 402499219. The next prime is 402499243. The reversal of 402499242 is 242994204.

402499242 is a `hidden beast` number, since 402 + 4 + 9 + 9 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 402499197 and 402499206.

It is not an unprimeable number, because it can be changed into a prime (402499243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37803 + ... + 47265.

It is an arithmetic number, because the mean of its divisors is an integer number (19377540).

Almost surely, 2402499242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402499242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465060960).

402499242 is an abundant number, since it is smaller than the sum of its proper divisors (527622678).

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

402499242 is a wasteful number, since it uses less digits than its factorization.

402499242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 402499242 is about 20062.3837566726. The cubic root of 402499242 is about 738.3376624793.

The spelling of 402499242 in words is "four hundred two million, four hundred ninety-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 139 153 278 306 417 834 1251 2363 2502 4726 7089 9463 14178 18926 21267 28389 42534 56778 85167 160871 170334 321742 482613 965226 1315357 1447839 2630714 2895678 3946071 7892142 11838213 22361069 23676426 44722138 67083207 134166414 201249621 402499242