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415828 = 22714851
BaseRepresentation
bin1100101100001010100
3210010102001
41211201110
5101301303
612525044
73351220
oct1454124
9703361
10415828
11264466
12180784
1311736a
14ab780
158331d
hex65854

415828 has 12 divisors (see below), whose sum is σ = 831712. Its totient is φ = 178200.

The previous prime is 415823. The next prime is 415861. The reversal of 415828 is 828514.

415828 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 14851 = 415828 / (4 + 1 + 5 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 415796 and 415805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415823) by changing a digit.

415828 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, 7398 + ... + 7453.

2415828 is an apocalyptic number.

It is an amenable number.

415828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

415828 is a wasteful number, since it uses less digits than its factorization.

415828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14862 (or 14860 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 415828 is about 644.8472687389. The cubic root of 415828 is about 74.6399333860.

Subtracting 415828 from its reverse (828514), we obtain a triangular number (412686 = T908).

It can be divided in two parts, 4158 and 28, that added together give a triangular number (4186 = T91).

The spelling of 415828 in words is "four hundred fifteen thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 14851 29702 59404 103957 207914 415828