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8068844 = 2271929523
BaseRepresentation
bin11110110001111011101100
3120011221101002
4132301323230
54031200334
6444535432
7125404220
oct36617354
916157332
108068844
114611273
122851578
131896884
141100780
15a95b7e
hex7b1eec

8068844 has 48 divisors (see below), whose sum is σ = 17606400. Its totient is φ = 3157056.

The previous prime is 8068843. The next prime is 8068847. The reversal of 8068844 is 4488608.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 8068798 and 8068807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068843) 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, 15167 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (366800).

Almost surely, 28068844 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 8068844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803200).

8068844 is an abundant number, since it is smaller than the sum of its proper divisors (9537556).

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

8068844 is a wasteful number, since it uses less digits than its factorization.

8068844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 8068844 is about 2840.5710693450. The cubic root of 8068844 is about 200.5720621643.

The spelling of 8068844 in words is "eight million, sixty-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 523 532 551 812 1046 1102 2092 2204 3661 3857 7322 7714 9937 14644 15167 15428 19874 30334 39748 60668 69559 106169 139118 212338 278236 288173 424676 576346 1152692 2017211 4034422 8068844