4261248 has 96 divisors (see below), whose sum is σ = 12809160. Its totient is φ = 1410048.

The previous prime is 4261223. The next prime is 4261249. The reversal of 4261248 is 8421624.

4261248 is a `hidden beast` number, since 4 + 2 + 612 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31036 + ... + 31172.

Almost surely, 2^4261248 is an apocalyptic number.

4261248 is a gapful number since it is divisible by the number (48) 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 4261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404580).

4261248 is an abundant number, since it is smaller than the sum of its proper divisors (8547912).

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

4261248 is an equidigital number, since it uses as much as digits as its factorization.

4261248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4261248 is about 2064.2790509037. The cubic root of 4261248 is about 162.1233628256.

The spelling of 4261248 in words is "four million, two hundred sixty-one thousand, two hundred forty-eight".