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4202824 = 23525353
BaseRepresentation
bin10000000010000101001000
321220112012011
4100002011020
52033442244
6230025304
750503063
oct20020510
97815164
104202824
11241070a
1214a8234
13b41ca2
147b58da
15580434
hex402148

4202824 has 8 divisors (see below), whose sum is σ = 7880310. Its totient is φ = 2101408.

The previous prime is 4202797. The next prime is 4202827. The reversal of 4202824 is 4282024.

It can be written as a sum of positive squares in only one way, i.e., 4202500 + 324 = 2050^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 43 + 213 + 0 + 221 + 8 + 221 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 4202795 and 4202804.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262669 + ... + 262684.

Almost surely, 24202824 is an apocalyptic number.

It is an amenable number.

4202824 is a deficient number, since it is larger than the sum of its proper divisors (3677486).

4202824 is a wasteful number, since it uses less digits than its factorization.

4202824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525359 (or 525355 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4202824 is about 2050.0790228672. The cubic root of 4202824 is about 161.3790177904.

Adding to 4202824 its reverse (4282024), we get a palindrome (8484848).

The spelling of 4202824 in words is "four million, two hundred two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 525353 1050706 2101412 4202824