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803825 = 52113779
BaseRepresentation
bin11000100001111110001
31111211122022
43010033301
5201210300
625121225
76555341
oct3041761
91454568
10803825
114a9a20
12329215
13221b49
1416cd21
1510d285
hexc43f1

803825 has 24 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 561600.

The previous prime is 803819. The next prime is 803849. The reversal of 803825 is 528308.

803825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-803825 is a prime.

It is a super-2 number, since 2×8038252 = 1292269261250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 803794 and 803803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10136 + ... + 10214.

It is an arithmetic number, because the mean of its divisors is an integer number (47120).

2803825 is an apocalyptic number.

It is an amenable number.

803825 is a deficient number, since it is larger than the sum of its proper divisors (327055).

803825 is a wasteful number, since it uses less digits than its factorization.

803825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 803825 is about 896.5628812303. The cubic root of 803825 is about 92.9794921443.

The spelling of 803825 in words is "eight hundred three thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 37 55 79 185 275 395 407 869 925 1975 2035 2923 4345 10175 14615 21725 32153 73075 160765 803825