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4082472 = 233256701
BaseRepresentation
bin1111100100101100101000
321200102002200
433210230220
52021114342
6223300200
746462152
oct17445450
97612080
104082472
112339249
12144a660
13acc284
14783ad2
1555994c
hex3e4b28

4082472 has 24 divisors (see below), whose sum is σ = 11056890. Its totient is φ = 1360800.

The previous prime is 4082447. The next prime is 4082479. The reversal of 4082472 is 2742804.

4082472 is digitally balanced in base 2, 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 only one way, i.e., 3261636 + 820836 = 1806^2 + 906^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4082479) 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 5 ways as a sum of consecutive naturals, for example, 28279 + ... + 28422.

Almost surely, 24082472 is an apocalyptic number.

It is an amenable number.

4082472 is an abundant number, since it is smaller than the sum of its proper divisors (6974418).

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

4082472 is a wasteful number, since it uses less digits than its factorization.

4082472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56713 (or 56706 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4082472 is about 2020.5128061955. The cubic root of 4082472 is about 159.8236598891.

It can be divided in two parts, 4082 and 472, that added together give a palindrome (4554).

The spelling of 4082472 in words is "four million, eighty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56701 113402 170103 226804 340206 453608 510309 680412 1020618 1360824 2041236 4082472