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402788368 = 2461894637
BaseRepresentation
bin11000000000100…
…001000000010000
31001001220202202201
4120000201000100
51311103211433
6103545052544
712660434053
oct3000410020
91031822681
10402788368
111973aa954
12b2a87154
13655a9818
143b6cca9a
1525564a7d
hex18021010

402788368 has 40 divisors (see below), whose sum is σ = 802281240. Its totient is φ = 195824640.

The previous prime is 402788341. The next prime is 402788369. The reversal of 402788368 is 863887204.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 386043904 = 4092^2 + 19648^2 .

It is a super-3 number, since 3×4027883683 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (46) 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 (402788369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84546 + ... + 89182.

It is an arithmetic number, because the mean of its divisors is an integer number (20057031).

Almost surely, 2402788368 is an apocalyptic number.

It is an amenable number.

402788368 is a deficient number, since it is larger than the sum of its proper divisors (399492872).

402788368 is a wasteful number, since it uses less digits than its factorization.

402788368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 402788368 is about 20069.5881372788. The cubic root of 402788368 is about 738.5144094135.

The spelling of 402788368 in words is "four hundred two million, seven hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 61 89 122 178 244 356 488 712 976 1424 4637 5429 9274 10858 18548 21716 37096 43432 74192 86864 282857 412693 565714 825386 1131428 1650772 2262856 3301544 4525712 6603088 25174273 50348546 100697092 201394184 402788368