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4126248 = 233372729
BaseRepresentation
bin1111101111011000101000
321202122011000
433233120220
52024014443
6224235000
750033610
oct17573050
97678130
104126248
112369125
12146ba60
13b16189
14795a40
155678d3
hex3ef628

4126248 has 64 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1178496.

The previous prime is 4126247. The next prime is 4126261. The reversal of 4126248 is 8426214.

4126248 is a `hidden beast` number, since 412 + 6 + 248 = 666.

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 not an unprimeable number, because it can be changed into a prime (4126247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 24126248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4126248 is an abundant number, since it is smaller than the sum of its proper divisors (8977752).

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

4126248 is a wasteful number, since it uses less digits than its factorization.

4126248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2741 counting only the distinct ones).

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

The square root of 4126248 is about 2031.3168142857. The cubic root of 4126248 is about 160.3928886178.

The spelling of 4126248 in words is "four million, one hundred twenty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2729 5458 8187 10916 16374 19103 21832 24561 32748 38206 49122 57309 65496 73683 76412 98244 114618 147366 152824 171927 196488 229236 294732 343854 458472 515781 589464 687708 1031562 1375416 2063124 4126248