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1993248 = 2534769
BaseRepresentation
bin111100110101000100000
310202021020000
413212220200
51002240443
6110420000
722641135
oct7465040
93667200
101993248
111141614
12801600
1354a34a
1439c58c
152958d3
hex1e6a20

1993248 has 60 divisors (see below), whose sum is σ = 5869710. Its totient is φ = 663552.

The previous prime is 1993247. The next prime is 1993259. The reversal of 1993248 is 8423991.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 219024 = 1332^2 + 468^2 .

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 not an unprimeable number, because it can be changed into a prime (1993241) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2208 + ... + 2976.

21993248 is an apocalyptic number.

1993248 is a gapful number since it is divisible by the number (18) 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 1993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934855).

1993248 is an abundant number, since it is smaller than the sum of its proper divisors (3876462).

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

1993248 is an equidigital number, since it uses as much as digits as its factorization.

1993248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 774 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1993248 is about 1411.8243516812. The cubic root of 1993248 is about 125.8501620208.

The spelling of 1993248 in words is "one million, nine hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 769 864 1296 1538 2307 2592 3076 4614 6152 6921 9228 12304 13842 18456 20763 24608 27684 36912 41526 55368 62289 73824 83052 110736 124578 166104 221472 249156 332208 498312 664416 996624 1993248