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4231248 = 24373257
BaseRepresentation
bin10000001001000001010000
321221222011220
4100021001100
52040344443
6230405040
750652000
oct20110120
97858156
104231248
11242aaaa
121500780
13b51bc8
147c2000
15588a83
hex409050

4231248 has 80 divisors (see below), whose sum is σ = 12796800. Its totient is φ = 1204224.

The previous prime is 4231247. The next prime is 4231261. The reversal of 4231248 is 8421324.

It is a Cunningham number, because it is equal to 20572-1.

It is a super-3 number, since 3×42312483 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (4231247) 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 15 ways as a sum of consecutive naturals, for example, 16336 + ... + 16592.

It is an arithmetic number, because the mean of its divisors is an integer number (159960).

Almost surely, 24231248 is an apocalyptic number.

4231248 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 4231248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398400).

4231248 is an abundant number, since it is smaller than the sum of its proper divisors (8565552).

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

4231248 is a wasteful number, since it uses less digits than its factorization.

4231248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4231248 is about 2056.9997569276. Note that the first 3 decimals coincide. The cubic root of 4231248 is about 161.7420066649.

The spelling of 4231248 in words is "four million, two hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 257 294 336 343 392 514 588 686 771 784 1028 1029 1176 1372 1542 1799 2056 2058 2352 2744 3084 3598 4112 4116 5397 5488 6168 7196 8232 10794 12336 12593 14392 16464 21588 25186 28784 37779 43176 50372 75558 86352 88151 100744 151116 176302 201488 264453 302232 352604 528906 604464 705208 1057812 1410416 2115624 4231248