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3825288 = 233253129
BaseRepresentation
bin1110100101111010001000
321012100022100
432211322020
51434402123
6213553400
744341305
oct16457210
97170270
103825288
112182aa5
121345860
13a3c1ac
147180ac
15508643
hex3a5e88

3825288 has 24 divisors (see below), whose sum is σ = 10360350. Its totient is φ = 1275072.

The previous prime is 3825281. The next prime is 3825293. The reversal of 3825288 is 8825283.

3825288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2566404 + 1258884 = 1602^2 + 1122^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (3825281) 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 5 ways as a sum of consecutive naturals, for example, 26493 + ... + 26636.

Almost surely, 23825288 is an apocalyptic number.

It is an amenable number.

3825288 is an abundant number, since it is smaller than the sum of its proper divisors (6535062).

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

3825288 is a wasteful number, since it uses less digits than its factorization.

3825288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53141 (or 53134 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3825288 is about 1955.8343488138. The cubic root of 3825288 is about 156.3944652162.

The spelling of 3825288 in words is "three million, eight hundred twenty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 53129 106258 159387 212516 318774 425032 478161 637548 956322 1275096 1912644 3825288