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4007745 = 33574241
BaseRepresentation
bin1111010010011101000001
321112121121000
433102131001
52011221440
6221522213
746031250
oct17223501
97477530
104007745
112298095
121413369
13aa4261
14764797
15542730
hex3d2741

4007745 has 32 divisors (see below), whose sum is σ = 8144640. Its totient is φ = 1831680.

The previous prime is 4007741. The next prime is 4007747. The reversal of 4007745 is 5477004.

4007745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4007745 - 22 = 4007741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4007741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176 + ... + 3065.

It is an arithmetic number, because the mean of its divisors is an integer number (254520).

Almost surely, 24007745 is an apocalyptic number.

4007745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4007745 is an abundant number, since it is smaller than the sum of its proper divisors (4136895).

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

4007745 is a wasteful number, since it uses less digits than its factorization.

4007745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4007745 is about 2001.9353136403. The cubic root of 4007745 is about 158.8424926522.

The spelling of 4007745 in words is "four million, seven thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4241 12723 21205 29687 38169 63615 89061 114507 148435 190845 267183 445305 572535 801549 1335915 4007745