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23971248 = 243377927
BaseRepresentation
bin101101101110…
…0010110110000
31200002212101000
41123130112300
522114034443
62213442000
7410516010
oct133342660
950085330
1023971248
1112592a54
128040300
134c73b92
14327dc40
1521878d3
hex16dc5b0

23971248 has 80 divisors (see below), whose sum is σ = 78645760. Its totient is φ = 6848064.

The previous prime is 23971247. The next prime is 23971261. The reversal of 23971248 is 84217932.

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 (23971243) 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, 940 + ... + 6987.

It is an arithmetic number, because the mean of its divisors is an integer number (983072).

Almost surely, 223971248 is an apocalyptic number.

23971248 is a gapful number since it is divisible by the number (28) 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 23971248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39322880).

23971248 is an abundant number, since it is smaller than the sum of its proper divisors (54674512).

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

23971248 is a wasteful number, since it uses less digits than its factorization.

23971248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7939 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 23971248 is about 4896.0441174483. The cubic root of 23971248 is about 288.3346803669.

The spelling of 23971248 in words is "twenty-three million, nine hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7927 15854 23781 31708 47562 55489 63416 71343 95124 110978 126832 142686 166467 190248 214029 221956 285372 332934 380496 428058 443912 499401 570744 665868 856116 887824 998802 1141488 1331736 1498203 1712232 1997604 2663472 2996406 3424464 3995208 5992812 7990416 11985624 23971248