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3256283648 = 29311931063
BaseRepresentation
bin1100001000010110…
…1111001000000000
322101221021100102002
43002011233020000
523132102034043
61255041243132
7143456645222
oct30205571000
98357240362
103256283648
1114210a6112
1276a6334a8
133cb817077
1422c67a412
15140d19bb8
hexc216f200

3256283648 has 80 divisors (see below), whose sum is σ = 6757234176. Its totient is φ = 1565982720.

The previous prime is 3256283633. The next prime is 3256283651. The reversal of 3256283648 is 8463826523.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3062765 + ... + 3063827.

Almost surely, 23256283648 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 3256283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378617088).

3256283648 is an abundant number, since it is smaller than the sum of its proper divisors (3500950528).

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

3256283648 is a wasteful number, since it uses less digits than its factorization.

3256283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The square root of 3256283648 is about 57063.8558809339. The cubic root of 3256283648 is about 1482.2020494985.

The spelling of 3256283648 in words is "three billion, two hundred fifty-six million, two hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 193 248 256 386 496 512 772 992 1063 1544 1984 2126 3088 3968 4252 5983 6176 7936 8504 11966 12352 15872 17008 23932 24704 32953 34016 47864 49408 65906 68032 95728 98816 131812 136064 191456 205159 263624 272128 382912 410318 527248 544256 765824 820636 1054496 1531648 1641272 2108992 3063296 3282544 4217984 6359929 6565088 8435968 12719858 13130176 16871936 25439716 26260352 50879432 52520704 101758864 105041408 203517728 407035456 814070912 1628141824 3256283648