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806925 = 35272953
BaseRepresentation
bin11000101000000001101
31111222220010
43011000031
5201310200
625143433
76600360
oct3050015
91458803
10806925
11501289
1232ab79
13223392
141700d7
1510e150
hexc500d

806925 has 48 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 349440.

The previous prime is 806917. The next prime is 806929. The reversal of 806925 is 529608.

It is not a de Polignac number, because 806925 - 23 = 806917 is a prime.

It is a super-2 number, since 2×8069252 = 1302255911250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 806892 and 806901.

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 806925.

It is not an unprimeable number, because it can be changed into a prime (806929) 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 47 ways as a sum of consecutive naturals, for example, 15199 + ... + 15251.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2806925 is an apocalyptic number.

It is an amenable number.

806925 is a deficient number, since it is larger than the sum of its proper divisors (800115).

806925 is a wasteful number, since it uses less digits than its factorization.

806925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 806925 is about 898.2900422469. The cubic root of 806925 is about 93.0988658404.

The spelling of 806925 in words is "eight hundred six thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 53 75 87 105 145 159 175 203 265 371 435 525 609 725 795 1015 1113 1325 1537 1855 2175 3045 3975 4611 5075 5565 7685 9275 10759 15225 23055 27825 32277 38425 53795 115275 161385 268975 806925