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3255925680 = 2433571753239
BaseRepresentation
bin1100001000010001…
…0111101110110000
322101220121011101000
43002010113232300
523132004110210
61255025442000
7143453624460
oct30204275660
98356534330
103255925680
111420981177
1276a4a0300
133cb720157
1422c5c5ba0
15140c98ac0
hexc2117bb0

3255925680 has 640 divisors, whose sum is σ = 13884825600. Its totient is φ = 684343296.

The previous prime is 3255925669. The next prime is 3255925681. The reversal of 3255925680 is 865295523.

3255925680 is a `hidden beast` number, since 3 + 2 + 5 + 592 + 56 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3255925681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13623001 + ... + 13623239.

It is an arithmetic number, because the mean of its divisors is an integer number (21695040).

Almost surely, 23255925680 is an apocalyptic number.

3255925680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3255925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942412800).

3255925680 is an abundant number, since it is smaller than the sum of its proper divisors (10628899920).

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

3255925680 is a wasteful number, since it uses less digits than its factorization.

3255925680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 3255925680 is about 57060.7192383692. The cubic root of 3255925680 is about 1482.1477339654.

The spelling of 3255925680 in words is "three billion, two hundred fifty-five million, nine hundred twenty-five thousand, six hundred eighty".