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3285975 = 352711569
BaseRepresentation
bin1100100010001111010111
320011221111210
430202033113
51320122400
6154232503
736634050
oct14421727
96157453
103285975
111944890
121125733
138b0884
14617727
1544d950
hex3223d7

3285975 has 48 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 1363200.

The previous prime is 3285959. The next prime is 3285979. The reversal of 3285975 is 5795823.

It is not a de Polignac number, because 3285975 - 24 = 3285959 is a prime.

It is a d-powerful number, because it can be written as 37 + 221 + 86 + 52 + 96 + 74 + 58 .

Its product of digits (75600) is a multiple of the sum of its prime factors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5491 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 23285975 is an apocalyptic number.

3285975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3285975 is an abundant number, since it is smaller than the sum of its proper divisors (3499305).

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

3285975 is a wasteful number, since it uses less digits than its factorization.

3285975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 3285975 is about 1812.7258479980. The cubic root of 3285975 is about 148.6693416729.

The spelling of 3285975 in words is "three million, two hundred eighty-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 569 825 1155 1707 1925 2845 3983 5775 6259 8535 11949 14225 18777 19915 31295 42675 43813 59745 93885 99575 131439 156475 219065 298725 469425 657195 1095325 3285975