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806332016 = 24724129873
BaseRepresentation
bin110000000011111…
…010011001110000
32002012020220120202
4300003322121300
53122410111031
6212002254332
725660465130
oct6003723160
92065226522
10806332016
113841761a6
121a60573a8
13cb08c049
1479136ac0
154abc82cb
hex300fa670

806332016 has 40 divisors (see below), whose sum is σ = 1792917984. Its totient is φ = 344125440.

The previous prime is 806331961. The next prime is 806332027. The reversal of 806332016 is 610233608.

It is a self number, because there is not a number n which added to its sum of digits gives 806332016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12056 + ... + 41928.

Almost surely, 2806332016 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 806332016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896458992).

806332016 is an abundant number, since it is smaller than the sum of its proper divisors (986585968).

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

806332016 is a wasteful number, since it uses less digits than its factorization.

806332016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30129 (or 30123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 806332016 is about 28395.9859135055. The cubic root of 806332016 is about 930.7605510149.

The spelling of 806332016 in words is "eight hundred six million, three hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 6748 13496 26992 29873 59746 119492 209111 238984 418222 477968 836444 1672888 3345776 7199393 14398786 28797572 50395751 57595144 100791502 115190288 201583004 403166008 806332016