Search a number
-
+
104317248 = 263777617
BaseRepresentation
bin1100011011111…
…00000101000000
321021021212100210
412031330011000
5203201122443
614203514120
72404452630
oct615740500
9237255323
10104317248
1153980102
122ab28940
13187c58a9
14dbd66c0
159258c33
hex637c140

104317248 has 56 divisors (see below), whose sum is σ = 315439552. Its totient is φ = 29804544.

The previous prime is 104317231. The next prime is 104317261. The reversal of 104317248 is 842713401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37465 + ... + 40152.

Almost surely, 2104317248 is an apocalyptic number.

It is an amenable number.

104317248 is an abundant number, since it is smaller than the sum of its proper divisors (211122304).

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

104317248 is an equidigital number, since it uses as much as digits as its factorization.

104317248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77639 (or 77629 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 104317248 is about 10213.5815461571. The cubic root of 104317248 is about 470.7446292148.

The spelling of 104317248 in words is "one hundred four million, three hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 77617 155234 232851 310468 465702 543319 620936 931404 1086638 1241872 1629957 1862808 2173276 2483744 3259914 3725616 4346552 4967488 6519828 7451232 8693104 13039656 14902464 17386208 26079312 34772416 52158624 104317248