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4005024 = 25341719
BaseRepresentation
bin1111010001110010100000
321112110212020
433101302200
52011130044
6221501440
746020312
oct17216240
97473766
104005024
112296041
121411880
13aa2c4a
147637b2
15541a19
hex3d1ca0

4005024 has 24 divisors (see below), whose sum is σ = 10513440. Its totient is φ = 1334976.

The previous prime is 4005019. The next prime is 4005049. The reversal of 4005024 is 4205004.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 4004994 and 4005012.

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, 20764 + ... + 20955.

It is an arithmetic number, because the mean of its divisors is an integer number (438060).

Almost surely, 24005024 is an apocalyptic number.

It is an amenable number.

4005024 is an abundant number, since it is smaller than the sum of its proper divisors (6508416).

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

4005024 is a wasteful number, since it uses less digits than its factorization.

4005024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41732 (or 41724 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4005024 is about 2001.2556058635. The cubic root of 4005024 is about 158.8065365827.

The spelling of 4005024 in words is "four million, five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 41719 83438 125157 166876 250314 333752 500628 667504 1001256 1335008 2002512 4005024