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804024 = 233213859
BaseRepresentation
bin11000100010010111000
31111211220200
43010102320
5201212044
625122200
76556044
oct3042270
91454820
10804024
114aa091
12329360
13221c70
1416d024
1510d369
hexc44b8

804024 has 48 divisors (see below), whose sum is σ = 2347800. Its totient is φ = 247104.

The previous prime is 804017. The next prime is 804031. The reversal of 804024 is 420408.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (804017) and next prime (804031).

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

It is a junction number, because it is equal to n+sod(n) for n = 803988 and 804006.

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 804024.

It is an unprimeable number.

804024 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 11 ways as a sum of consecutive naturals, for example, 507 + ... + 1365.

2804024 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 804024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173900).

804024 is an abundant number, since it is smaller than the sum of its proper divisors (1543776).

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

804024 is a wasteful number, since it uses less digits than its factorization.

804024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

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

The square root of 804024 is about 896.6738537506. The cubic root of 804024 is about 92.9871643749.

The spelling of 804024 in words is "eight hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 859 936 1718 2577 3436 5154 6872 7731 10308 11167 15462 20616 22334 30924 33501 44668 61848 67002 89336 100503 134004 201006 268008 402012 804024