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3252682752 = 22131147
BaseRepresentation
bin1100000111100000…
…0000000000000000
322101200111101220120
43001320000000000
523130141322002
61254432140240
7143414230044
oct30170000000
98350441816
103252682752
11141a066770
12769397680
133cab56067
1422bdc0024
15140857cbc
hexc1e00000

3252682752 has 176 divisors, whose sum is σ = 9663674112. Its totient is φ = 964689920.

The previous prime is 3252682729. The next prime is 3252682753. The reversal of 3252682752 is 2572862523.

It is a tau number, because it is divible by the number of its divisors (176).

Its product of digits (403200) is a multiple of the sum of its prime divisors (63).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252682753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69205993 + ... + 69206039.

Almost surely, 23252682752 is an apocalyptic number.

3252682752 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 3252682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831837056).

3252682752 is an abundant number, since it is smaller than the sum of its proper divisors (6410991360).

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

3252682752 is an frugal number, since it uses more digits than its factorization.

3252682752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 3252682752 is about 57032.2956928791. The cubic root of 3252682752 is about 1481.6554935077.

The spelling of 3252682752 in words is "three billion, two hundred fifty-two million, six hundred eighty-two thousand, seven hundred fifty-two".