Search a number
-
+
8113644 = 22327112927
BaseRepresentation
bin11110111100110111101100
3120021012211100
4132330313230
54034114034
6445523100
7125651640
oct36746754
916235740
108113644
1146419a0
122873490
1318b1096
141112c20
15aa4099
hex7bcdec

8113644 has 72 divisors (see below), whose sum is σ = 25579008. Its totient is φ = 2106720.

The previous prime is 8113643. The next prime is 8113663. The reversal of 8113644 is 4463118.

8113644 is a `hidden beast` number, since 8 + 1 + 13 + 644 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8113643) 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, 1309 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (355264).

Almost surely, 28113644 is an apocalyptic number.

8113644 is a gapful number since it is divisible by the number (84) 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 8113644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789504).

8113644 is an abundant number, since it is smaller than the sum of its proper divisors (17465364).

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

8113644 is a wasteful number, since it uses less digits than its factorization.

8113644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2950 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8113644 is about 2848.4458920611. The cubic root of 8113644 is about 200.9425840313.

The spelling of 8113644 in words is "eight million, one hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 2927 5854 8781 11708 17562 20489 26343 32197 35124 40978 52686 61467 64394 81956 96591 105372 122934 128788 184401 193182 225379 245868 289773 368802 386364 450758 579546 676137 737604 901516 1159092 1352274 2028411 2704548 4056822 8113644