Search a number
-
+
8483808 = 253671319
BaseRepresentation
bin100000010111…
…001111100000
3120222000121010
4200113033200
54132440213
6501500520
7132053064
oct40271740
916860533
108483808
114875013
122a11740
1319b0708
1411abaa4
15b28ac3
hex8173e0

8483808 has 48 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 2783616.

The previous prime is 8483807. The next prime is 8483831. The reversal of 8483808 is 8083848.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8483807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773 + ... + 7091.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 28483808 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 8483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

8483808 is an abundant number, since it is smaller than the sum of its proper divisors (14135712).

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

8483808 is a wasteful number, since it uses less digits than its factorization.

8483808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 8483808 is about 2912.6977186107. The cubic root of 8483808 is about 203.9530841746.

It can be divided in two parts, 848 and 3808, that added together give a triangular number (4656 = T96).

The spelling of 8483808 in words is "eight million, four hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1319 1608 2144 2638 3216 3957 5276 6432 7914 10552 15828 21104 31656 42208 63312 88373 126624 176746 265119 353492 530238 706984 1060476 1413968 2120952 2827936 4241904 8483808