Search a number
-
+
812777064 = 2331121114591
BaseRepresentation
bin110000011100011…
…111111001101000
32002122101100112020
4300130133321220
53131032331224
6212352344440
726066330301
oct6034377150
92078340466
10812777064
11387878490
121a8245120
13cc507798
1479d337a8
154b54cc79
hex3071fe68

812777064 has 64 divisors (see below), whose sum is σ = 2227322880. Its totient is φ = 245112000.

The previous prime is 812777057. The next prime is 812777081. The reversal of 812777064 is 460777218.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48409 + ... + 62999.

It is an arithmetic number, because the mean of its divisors is an integer number (34801920).

Almost surely, 2812777064 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 812777064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113661440).

812777064 is an abundant number, since it is smaller than the sum of its proper divisors (1414545816).

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

812777064 is a wasteful number, since it uses less digits than its factorization.

812777064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14822 (or 14818 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 812777064 is about 28509.2452372910. The cubic root of 812777064 is about 933.2338432500.

The spelling of 812777064 in words is "eight hundred twelve million, seven hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 422 633 844 1266 1688 2321 2532 4642 5064 6963 9284 13926 14591 18568 27852 29182 43773 55704 58364 87546 116728 160501 175092 321002 350184 481503 642004 963006 1284008 1926012 3078701 3852024 6157402 9236103 12314804 18472206 24629608 33865711 36944412 67731422 73888824 101597133 135462844 203194266 270925688 406388532 812777064