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805032 = 23333727
BaseRepresentation
bin11000100100010101000
31111220022000
43010202220
5201230112
625131000
76562014
oct3044250
91456260
10805032
114aa918
12329a60
13222567
1416d544
1510d7dc
hexc48a8

805032 has 32 divisors (see below), whose sum is σ = 2236800. Its totient is φ = 268272.

The previous prime is 805031. The next prime is 805033. The reversal of 805032 is 230508.

It is an interprime number because it is at equal distance from previous prime (805031) and next prime (805033).

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 zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 804996 and 805014.

It is not an unprimeable number, because it can be changed into a prime (805031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1648 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (69900).

2805032 is an apocalyptic number.

It is an amenable number.

805032 is an abundant number, since it is smaller than the sum of its proper divisors (1431768).

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

805032 is a wasteful number, since it uses less digits than its factorization.

805032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 805032 is about 897.2357549719. The cubic root of 805032 is about 93.0260072946.

The spelling of 805032 in words is "eight hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3727 7454 11181 14908 22362 29816 33543 44724 67086 89448 100629 134172 201258 268344 402516 805032