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3325152 = 253191823
BaseRepresentation
bin1100101011110011100000
320020221020210
430223303200
51322401102
6155134120
740156215
oct14536340
96227223
103325152
111971266
121144340
138c565c
14627b0c
1545a36c
hex32bce0

3325152 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1049472.

The previous prime is 3325123. The next prime is 3325159. The reversal of 3325152 is 2515233.

3325152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33251522 = 22113271646208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325159) by changing a digit.

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, 913 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23325152 is an apocalyptic number.

3325152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 1823×1824.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3325152 is an abundant number, since it is smaller than the sum of its proper divisors (5867808).

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

3325152 is a wasteful number, since it uses less digits than its factorization.

3325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1847 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 3325152 is about 1823.4999314505. The cubic root of 3325152 is about 149.2578452088.

The spelling of 3325152 in words is "three million, three hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1823 1824 3646 5469 7292 10938 14584 21876 29168 34637 43752 58336 69274 87504 103911 138548 175008 207822 277096 415644 554192 831288 1108384 1662576 3325152