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4058016 = 253411031
BaseRepresentation
bin1111011110101110100000
321122011112220
433132232200
52014324031
6222551040
746330644
oct17365640
97564486
104058016
112321936
121438480
13ac10c1
14778c24
15552596
hex3deba0

4058016 has 48 divisors (see below), whose sum is σ = 10922688. Its totient is φ = 1318400.

The previous prime is 4058011. The next prime is 4058017. The reversal of 4058016 is 6108504.

4058016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4058011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3421 + ... + 4451.

It is an arithmetic number, because the mean of its divisors is an integer number (227556).

Almost surely, 24058016 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 4058016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461344).

4058016 is an abundant number, since it is smaller than the sum of its proper divisors (6864672).

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

4058016 is a wasteful number, since it uses less digits than its factorization.

4058016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4058016 is about 2014.4517864670. The cubic root of 4058016 is about 159.5038799120.

The spelling of 4058016 in words is "four million, fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1031 1312 1968 2062 3093 3936 4124 6186 8248 12372 16496 24744 32992 42271 49488 84542 98976 126813 169084 253626 338168 507252 676336 1014504 1352672 2029008 4058016