Search a number
-
+
104020448 = 2572967239
BaseRepresentation
bin1100011001100…
…11100111100000
321020201210020012
412030303213200
5203112123243
614153304052
72402105420
oct614634740
9236653205
10104020448
1153798114
122aa05028
131872077c
14db5a480
1591ead18
hex63339e0

104020448 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 42223104.

The previous prime is 104020439. The next prime is 104020451. The reversal of 104020448 is 844020401.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 435113 + ... + 435351.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2104020448 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 104020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

104020448 is an abundant number, since it is smaller than the sum of its proper divisors (142737952).

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

104020448 is a wasteful number, since it uses less digits than its factorization.

104020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 104020448 is about 10199.0415235943. The cubic root of 104020448 is about 470.2977560960.

Adding to 104020448 its reverse (844020401), we get a palindrome (948040849).

The spelling of 104020448 in words is "one hundred four million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 67 112 116 134 203 224 232 239 268 406 464 469 478 536 812 928 938 956 1072 1624 1673 1876 1912 1943 2144 3248 3346 3752 3824 3886 6496 6692 6931 7504 7648 7772 13384 13601 13862 15008 15544 16013 26768 27202 27724 31088 32026 48517 53536 54404 55448 62176 64052 97034 108808 110896 112091 128104 194068 217616 221792 224182 256208 388136 435232 448364 464377 512416 776272 896728 928754 1552544 1793456 1857508 3250639 3586912 3715016 6501278 7430032 13002556 14860064 26005112 52010224 104020448