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806568312 = 2331115120233
BaseRepresentation
bin110000000100110…
…100000101111000
32002012200220201110
4300010310011320
53122440141222
6212011320320
725662501054
oct6004640570
92065626643
10806568312
11384317790
121a61500a0
13cb142774
1479198c64
154ac2330c
hex30134178

806568312 has 64 divisors (see below), whose sum is σ = 2214408960. Its totient is φ = 242784000.

The previous prime is 806568263. The next prime is 806568337. The reversal of 806568312 is 213865608.

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, 29748 + ... + 49980.

It is an arithmetic number, because the mean of its divisors is an integer number (34600140).

Almost surely, 2806568312 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 806568312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107204480).

806568312 is an abundant number, since it is smaller than the sum of its proper divisors (1407840648).

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

806568312 is a wasteful number, since it uses less digits than its factorization.

806568312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404 (or 20400 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 806568312 is about 28400.1463376511. The cubic root of 806568312 is about 930.8514620831.

The spelling of 806568312 in words is "eight hundred six million, five hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 3322 3624 4983 6644 9966 13288 19932 20233 39864 40466 60699 80932 121398 161864 222563 242796 445126 485592 667689 890252 1335378 1780504 2670756 3055183 5341512 6110366 9165549 12220732 18331098 24441464 33607013 36662196 67214026 73324392 100821039 134428052 201642078 268856104 403284156 806568312