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3255017472 = 21332721753
BaseRepresentation
bin1100001000000011…
…1010000000000000
322101211220000112200
43002000322000000
523131241024342
61254554153200
7143443122600
oct30200720000
98354800480
103255017472
111420410893
1276a122800
133cb492955
1422c42ac00
15140b6994c
hexc203a000

3255017472 has 504 divisors, whose sum is σ = 11799888516. Its totient is φ = 858783744.

The previous prime is 3255017413. The next prime is 3255017503. The reversal of 3255017472 is 2747105523.

3255017472 is a `hidden beast` number, since 32 + 550 + 1 + 7 + 4 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3036450816 + 218566656 = 55104^2 + 14784^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61415398 + ... + 61415450.

Almost surely, 23255017472 is an apocalyptic number.

3255017472 is a gapful number since it is divisible by the number (32) 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 3255017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899944258).

3255017472 is an abundant number, since it is smaller than the sum of its proper divisors (8544871044).

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

3255017472 is a wasteful number, since it uses less digits than its factorization.

3255017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 3255017472 is about 57052.7604240145. The cubic root of 3255017472 is about 1482.0099110397.

The spelling of 3255017472 in words is "three billion, two hundred fifty-five million, seventeen thousand, four hundred seventy-two".