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402804 = 223267167
BaseRepresentation
bin1100010010101110100
3202110112200
41202111310
5100342204
612344500
73265233
oct1422564
9673480
10402804
112556a6
12175130
1311145c
14a6b1a
157e539
hex62574

402804 has 36 divisors (see below), whose sum is σ = 1039584. Its totient is φ = 131472.

The previous prime is 402803. The next prime is 402817. The reversal of 402804 is 408204.

It is a happy number.

402804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402804.

It is not an unprimeable number, because it can be changed into a prime (402803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2329 + ... + 2495.

2402804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519792).

402804 is an abundant number, since it is smaller than the sum of its proper divisors (636780).

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

402804 is a wasteful number, since it uses less digits than its factorization.

402804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 402804 is about 634.6684173645. The cubic root of 402804 is about 73.8523963072.

The spelling of 402804 in words is "four hundred two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 167 201 268 334 402 501 603 668 804 1002 1206 1503 2004 2412 3006 6012 11189 22378 33567 44756 67134 100701 134268 201402 402804