Search a number
-
+
8611431228 = 22324111351631
BaseRepresentation
bin10000000010100100…
…00000001100111100
3211020010221000212100
420001102000030330
5120114011244403
63542300505100
7423253646331
oct100122001474
924203830770
108611431228
113719a23814
121803b4b190
13a73111b4a
145b9988988
153560252a3
hex20148033c

8611431228 has 72 divisors (see below), whose sum is σ = 22496475456. Its totient is φ = 2775628800.

The previous prime is 8611431223. The next prime is 8611431247. The reversal of 8611431228 is 8221341168.

8611431228 is a `hidden beast` number, since 8 + 611 + 4 + 3 + 12 + 28 = 666.

It is a super-3 number, since 3×86114312283 (a number of 31 digits) contains 333 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 junction number, because it is equal to n+sod(n) for n = 8611431192 and 8611431201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8611431223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140973 + ... + 192603.

It is an arithmetic number, because the mean of its divisors is an integer number (312451048).

Almost surely, 28611431228 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 8611431228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248237728).

8611431228 is an abundant number, since it is smaller than the sum of its proper divisors (13885044228).

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

8611431228 is a wasteful number, since it uses less digits than its factorization.

8611431228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51795 (or 51790 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8611431228 is about 92797.7975385192. The cubic root of 8611431228 is about 2049.7069760038.

The spelling of 8611431228 in words is "eight billion, six hundred eleven million, four hundred thirty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 113 123 164 226 246 339 369 452 492 678 738 1017 1356 1476 2034 4068 4633 9266 13899 18532 27798 41697 51631 55596 83394 103262 154893 166788 206524 309786 464679 619572 929358 1858716 2116871 4233742 5834303 6350613 8467484 11668606 12701226 17502909 19051839 23337212 25402452 35005818 38103678 52508727 70011636 76207356 105017454 210034908 239206423 478412846 717619269 956825692 1435238538 2152857807 2870477076 4305715614 8611431228