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4145824 = 25177621
BaseRepresentation
bin1111110100001010100000
321210122000001
433310022200
52030131244
6224505344
750144644
oct17641240
97718001
104145824
112381901
12147b254
13b22067
1479cc24
1556d5d4
hex3f42a0

4145824 has 24 divisors (see below), whose sum is σ = 8643348. Its totient is φ = 1950720.

The previous prime is 4145809. The next prime is 4145837. The reversal of 4145824 is 4285414.

4145824 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3610000 + 535824 = 1900^2 + 732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4145792 and 4145801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3267 + ... + 4354.

Almost surely, 24145824 is an apocalyptic number.

It is an amenable number.

4145824 is an abundant number, since it is smaller than the sum of its proper divisors (4497524).

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

4145824 is a wasteful number, since it uses less digits than its factorization.

4145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7640 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 4145824 is about 2036.1296618831. The cubic root of 4145824 is about 160.6461371549.

The spelling of 4145824 in words is "four million, one hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 7621 15242 30484 60968 121936 129557 243872 259114 518228 1036456 2072912 4145824