Search a number
-
+
8083476 = 223461409
BaseRepresentation
bin11110110101100000010100
3120012200110000
4132311200110
54032132401
6445131300
7125464662
oct36654024
916180400
108083476
114621265
122859b30
1318a042b
141105c32
15a9a186
hex7b5814

8083476 has 60 divisors (see below), whose sum is σ = 21530740. Its totient is φ = 2643840.

The previous prime is 8083457. The next prime is 8083477. The reversal of 8083476 is 6743808.

8083476 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3572100 + 4511376 = 1890^2 + 2124^2 .

It is a super-4 number, since 4×80834764 (a number of 29 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8083476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083477) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19560 + ... + 19968.

Almost surely, 28083476 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 8083476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765370).

8083476 is an abundant number, since it is smaller than the sum of its proper divisors (13447264).

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

8083476 is a wasteful number, since it uses less digits than its factorization.

8083476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8083476 is about 2843.1454412323. The cubic root of 8083476 is about 200.6932277337.

The spelling of 8083476 in words is "eight million, eighty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 409 549 732 818 1098 1227 1636 1647 2196 2454 3294 3681 4908 4941 6588 7362 9882 11043 14724 19764 22086 24949 33129 44172 49898 66258 74847 99796 132516 149694 224541 299388 449082 673623 898164 1347246 2020869 2694492 4041738 8083476