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4248288 = 253411149
BaseRepresentation
bin10000001101001011100000
321222211120000
4100031023200
52041421123
6231020000
751052452
oct20151340
97884500
104248288
112441890
12150a600
13b598a5
147c82d2
1558db43
hex40d2e0

4248288 has 120 divisors (see below), whose sum is σ = 13721400. Its totient is φ = 1278720.

The previous prime is 4248287. The next prime is 4248319. The reversal of 4248288 is 8828424.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28438 + ... + 28586.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

Almost surely, 24248288 is an apocalyptic number.

4248288 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 4248288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860700).

4248288 is an abundant number, since it is smaller than the sum of its proper divisors (9473112).

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

4248288 is a wasteful number, since it uses less digits than its factorization.

4248288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 4248288 is about 2061.1375499951. The cubic root of 4248288 is about 161.9588372784.

The spelling of 4248288 in words is "four million, two hundred forty-eight thousand, two hundred eighty-eight".