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402788 = 22101997
BaseRepresentation
bin1100010010101100100
3202110112002
41202111210
5100342123
612344432
73265211
oct1422544
9673462
10402788
11255691
12175118
13111449
14a6b08
157e528
hex62564

402788 has 12 divisors (see below), whose sum is σ = 712572. Its totient is φ = 199200.

The previous prime is 402769. The next prime is 402797. The reversal of 402788 is 887204.

402788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 33124 = 608^2 + 182^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 402788.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402788.

It is an unprimeable number.

402788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (59381).

2402788 is an apocalyptic number.

It is an amenable number.

402788 is a deficient number, since it is larger than the sum of its proper divisors (309784).

402788 is a wasteful number, since it uses less digits than its factorization.

402788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 402788 is about 634.6558122321. The cubic root of 402788 is about 73.8514184503.

Subtracting 402788 from its reverse (887204), we obtain a square (484416 = 6962).

The spelling of 402788 in words is "four hundred two thousand, seven hundred eighty-eight".

Divisors: 1 2 4 101 202 404 997 1994 3988 100697 201394 402788