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402242646 = 231321732293
BaseRepresentation
bin10111111110011…
…011110001010110
31001000220001011210
4113332123301112
51310433231041
6103525242250
712653002041
oct2776336126
91030801153
10402242646
11197067943
12b2863386
1365448300
143b5c9c58
15254a8016
hex17f9bc56

402242646 has 48 divisors (see below), whose sum is σ = 876546576. Its totient is φ = 122997888.

The previous prime is 402242623. The next prime is 402242647. The reversal of 402242646 is 646242204.

It is a super-2 number, since 2×4022426462 = 323598292522162632, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402242647) 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, 174276 + ... + 176568.

It is an arithmetic number, because the mean of its divisors is an integer number (18261387).

Almost surely, 2402242646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402242646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438273288).

402242646 is an abundant number, since it is smaller than the sum of its proper divisors (474303930).

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

402242646 is a wasteful number, since it uses less digits than its factorization.

402242646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 402242646 is about 20055.9877842005. The cubic root of 402242646 is about 738.1807307017.

The spelling of 402242646 in words is "four hundred two million, two hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 173 338 346 507 519 1014 1038 2249 2293 4498 4586 6747 6879 13494 13758 29237 29809 58474 59618 87711 89427 175422 178854 387517 396689 775034 793378 1162551 1190067 2325102 2380134 5156957 10313914 15470871 30941742 67040441 134080882 201121323 402242646