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4082328 = 233231259
BaseRepresentation
bin1111100100101010011000
321200101220100
433210222120
52021113303
6223255400
746461555
oct17445230
97611810
104082328
112339128
12144a560
13acc1a3
14783a2c
155598a3
hex3e4a98

4082328 has 72 divisors (see below), whose sum is σ = 11618100. Its totient is φ = 1294560.

The previous prime is 4082327. The next prime is 4082333. The reversal of 4082328 is 8232804.

4082328 is digitally balanced in base 2, 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082327) 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 17 ways as a sum of consecutive naturals, for example, 69163 + ... + 69221.

Almost surely, 24082328 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 4082328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809050).

4082328 is an abundant number, since it is smaller than the sum of its proper divisors (7535772).

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

4082328 is a wasteful number, since it uses less digits than its factorization.

4082328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4082328 is about 2020.4771713632. The cubic root of 4082328 is about 159.8217807272.

The spelling of 4082328 in words is "four million, eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 59 62 72 93 118 124 177 186 236 248 279 354 372 472 531 558 708 744 961 1062 1116 1416 1829 1922 2124 2232 2883 3658 3844 4248 5487 5766 7316 7688 8649 10974 11532 14632 16461 17298 21948 23064 32922 34596 43896 56699 65844 69192 113398 131688 170097 226796 340194 453592 510291 680388 1020582 1360776 2041164 4082328