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8010772 = 2271131839
BaseRepresentation
bin11110100011110000010100
3120001222201021
4132203300110
54022321042
6443410524
7125043010
oct36436024
916058637
108010772
114581680
122823a44
131876303
1410c7540
15a83867
hex7a3c14

8010772 has 48 divisors (see below), whose sum is σ = 18063360. Its totient is φ = 3016800.

The previous prime is 8010749. The next prime is 8010809. The reversal of 8010772 is 2770108.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9129 + ... + 9967.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 28010772 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 8010772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031680).

8010772 is an abundant number, since it is smaller than the sum of its proper divisors (10052588).

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

8010772 is a wasteful number, since it uses less digits than its factorization.

8010772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 8010772 is about 2830.3307227248. The cubic root of 8010772 is about 200.0897264065.

The spelling of 8010772 in words is "eight million, ten thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 839 868 1364 1678 2387 3356 4774 5873 9229 9548 11746 18458 23492 26009 36916 52018 64603 104036 129206 182063 258412 286099 364126 572198 728252 1144396 2002693 4005386 8010772