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4202828 = 227241523
BaseRepresentation
bin10000000010000101001100
321220112012022
4100002011030
52033442303
6230025312
750503100
oct20020514
97815168
104202828
112410713
1214a8238
13b41ca6
147b5900
15580438
hex40214c

4202828 has 36 divisors (see below), whose sum is σ = 8781192. Its totient is φ = 1753920.

The previous prime is 4202827. The next prime is 4202851. The reversal of 4202828 is 8282024.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4 + 28 + 0 + 213 + 8 + 222 + 82 .

4202828 is a modest number, since divided by 2828 gives 420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4202797 and 4202806.

It is not an unprimeable number, because it can be changed into a prime (4202827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7775 + ... + 8297.

It is an arithmetic number, because the mean of its divisors is an integer number (243922).

Almost surely, 24202828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390596).

4202828 is an abundant number, since it is smaller than the sum of its proper divisors (4578364).

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

4202828 is a wasteful number, since it uses less digits than its factorization.

4202828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4202828 is about 2050.0799984391. The cubic root of 4202828 is about 161.3790689874.

The spelling of 4202828 in words is "four million, two hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 523 574 1046 1148 2009 2092 3661 4018 7322 8036 14644 21443 25627 42886 51254 85772 102508 150101 300202 600404 1050707 2101414 4202828