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804112 = 24291733
BaseRepresentation
bin11000100010100010000
31111212000221
43010110100
5201212422
625122424
76556231
oct3042420
91455027
10804112
114aa161
12329414
1322200a
1416d088
1510d3c7
hexc4510

804112 has 20 divisors (see below), whose sum is σ = 1612620. Its totient is φ = 387968.

The previous prime is 804107. The next prime is 804113. The reversal of 804112 is 211408.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 414736 = 624^2 + 644^2 .

It is a super-2 number, since 2×8041122 = 1293192217088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (804113) by changing a digit.

804112 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, 403 + ... + 1330.

It is an arithmetic number, because the mean of its divisors is an integer number (80631).

2804112 is an apocalyptic number.

It is an amenable number.

804112 is an abundant number, since it is smaller than the sum of its proper divisors (808508).

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

804112 is a wasteful number, since it uses less digits than its factorization.

804112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 804112 is about 896.7229226467. The cubic root of 804112 is about 92.9905567164.

Subtracting from 804112 its reverse (211408), we obtain a cube (592704 = 843).

The spelling of 804112 in words is "eight hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 1733 3466 6932 13864 27728 50257 100514 201028 402056 804112