Search a number
-
+
8425335248 = 2411311798627
BaseRepresentation
bin1111101100011000…
…00110100111010000
3210202011202101011122
413312030012213100
5114223341211443
63512012101412
7415534111421
oct76614064720
923664671148
108425335248
113633978090
121771764868
13a436b5395
1459cd85648
15344a15968
hex1f63069d0

8425335248 has 80 divisors (see below), whose sum is σ = 18487388160. Its totient is φ = 3685027200.

The previous prime is 8425335241. The next prime is 8425335251.

It is a happy number.

8425335248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 8425335199 and 8425335208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8425335241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972311 + ... + 980937.

It is an arithmetic number, because the mean of its divisors is an integer number (231092352).

Almost surely, 28425335248 is an apocalyptic number.

8425335248 is a gapful number since it is divisible by the number (88) 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 8425335248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243694080).

8425335248 is an abundant number, since it is smaller than the sum of its proper divisors (10062052912).

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

8425335248 is a wasteful number, since it uses less digits than its factorization.

8425335248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8850 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The square root of 8425335248 is about 91789.6249474852. The cubic root of 8425335248 is about 2034.8343650743.

The spelling of 8425335248 in words is "eight billion, four hundred twenty-five million, three hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 179 248 341 358 496 682 716 1364 1432 1969 2728 2864 3938 5456 5549 7876 8627 11098 15752 17254 22196 31504 34508 44392 61039 69016 88784 94897 122078 138032 189794 244156 267437 379588 488312 534874 759176 976624 1069748 1518352 1544233 2139496 2941807 3088466 4278992 5883614 6176932 11767228 12353864 16986563 23534456 24707728 33973126 47068912 47871223 67946252 95742446 135892504 191484892 271785008 382969784 526583453 765939568 1053166906 2106333812 4212667624 8425335248