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3205247985 = 325173411721
BaseRepresentation
bin1011111100001100…
…0011001111110001
322021101020110122100
42333003003033301
523031020413420
61250015331013
7142300105212
oct27703031761
98241213570
103205247985
1113a5308285
12755520a69
133c1088454
14225993409
1513b5d8190
hexbf0c33f1

3205247985 has 24 divisors (see below), whose sum is σ = 5587890984. Its totient is φ = 1699580160.

The previous prime is 3205247963. The next prime is 3205247999. The reversal of 3205247985 is 5897425023.

3205247985 is a `hidden beast` number, since 32 + 0 + 524 + 7 + 98 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1718682849 + 1486565136 = 41457^2 + 38556^2 .

It is not a de Polignac number, because 3205247985 - 218 = 3204985841 is a prime.

It is a super-2 number, since 2×32052479852 = 20547229290693120450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3205247985.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198076 + ... + 213645.

It is an arithmetic number, because the mean of its divisors is an integer number (232828791).

Almost surely, 23205247985 is an apocalyptic number.

It is an amenable number.

3205247985 is a deficient number, since it is larger than the sum of its proper divisors (2382642999).

3205247985 is a wasteful number, since it uses less digits than its factorization.

3205247985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411905 (or 411902 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3205247985 is about 56614.9095645308. The cubic root of 3205247985 is about 1474.4177320637.

It can be divided in two parts, 320524 and 7985, that added together give a cube (328509 = 693).

The spelling of 3205247985 in words is "three billion, two hundred five million, two hundred forty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 173 519 865 1557 2595 7785 411721 1235163 2058605 3705489 6175815 18527445 71227733 213683199 356138665 641049597 1068415995 3205247985