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3252759552 = 2103376
BaseRepresentation
bin1100000111100001…
…0010110000000000
322101200122022021000
43001320102300000
523130201301202
61254433532000
7143415000000
oct30170226000
98350568230
103252759552
11141a109439
12769414000
133cab81cc3
1422c000000
1514087091c
hexc1e12c00

3252759552 has 308 divisors, whose sum is σ = 11238603160. Its totient is φ = 929359872.

The previous prime is 3252759533. The next prime is 3252759563. The reversal of 3252759552 is 2559572523.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3252759552 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 7 + 595 + 52 = 666.

Its product of digits (945000) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 3252759498 and 3252759507.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 464679933 + ... + 464679939.

Almost surely, 23252759552 is an apocalyptic number.

3252759552 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 3252759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619301580).

3252759552 is an abundant number, since it is smaller than the sum of its proper divisors (7985843608).

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

3252759552 is an frugal number, since it uses more digits than its factorization.

3252759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 3252759552 is about 57032.9689916280. The cubic root of 3252759552 is about 1481.6671546764.

The spelling of 3252759552 in words is "three billion, two hundred fifty-two million, seven hundred fifty-nine thousand, five hundred fifty-two".