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3285927648 = 2535422573
BaseRepresentation
bin1100001111011011…
…0100011011100000
322111000001102100000
43003312310123200
523212144141043
61302020500000
7144266631663
oct30366643340
98430042300
103285927648
111436903093
1277854a600
134049c5cb3
142325956da
151437232d3
hexc3db46e0

3285927648 has 72 divisors (see below), whose sum is σ = 9690466968. Its totient is φ = 1095306624.

The previous prime is 3285927643. The next prime is 3285927661. The reversal of 3285927648 is 8467295823.

3285927648 is a `hidden beast` number, since 3 + 2 + 8 + 592 + 7 + 6 + 48 = 666.

3285927648 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 Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3285927594 and 3285927603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285927643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203511 + ... + 219062.

It is an arithmetic number, because the mean of its divisors is an integer number (134589819).

Almost surely, 23285927648 is an apocalyptic number.

It is an amenable number.

3285927648 is an abundant number, since it is smaller than the sum of its proper divisors (6404539320).

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

3285927648 is an equidigital number, since it uses as much as digits as its factorization.

3285927648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422598 (or 422578 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3285927648 is about 57323.0115049794. The cubic root of 3285927648 is about 1486.6862754446.

The spelling of 3285927648 in words is "three billion, two hundred eighty-five million, nine hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 422573 845146 1267719 1690292 2535438 3380584 3803157 5070876 6761168 7606314 10141752 11409471 13522336 15212628 20283504 22818942 30425256 34228413 40567008 45637884 60850512 68456826 91275768 102685239 121701024 136913652 182551536 205370478 273827304 365103072 410740956 547654608 821481912 1095309216 1642963824 3285927648