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812333052 = 2232313072371
BaseRepresentation
bin110000011010110…
…011011111111100
32002121112210110100
4300122303133330
53130424124202
6212335041100
726062500636
oct6032633774
92077483410
10812333052
113875a4933
121a8070190
13cc3b065b
1479c59a56
154b4b141c
hex306b37fc

812333052 has 72 divisors (see below), whose sum is σ = 2127437312. Its totient is φ = 261079200.

The previous prime is 812333051. The next prime is 812333057. The reversal of 812333052 is 250333218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812333051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341427 + ... + 343797.

Almost surely, 2812333052 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 812333052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063718656).

812333052 is an abundant number, since it is smaller than the sum of its proper divisors (1315104260).

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

812333052 is a wasteful number, since it uses less digits than its factorization.

812333052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 812333052 is about 28501.4570153878. The cubic root of 812333052 is about 933.0638735164.

The spelling of 812333052 in words is "eight hundred twelve million, three hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 307 372 558 614 921 1116 1228 1842 2371 2763 3684 4742 5526 7113 9484 9517 11052 14226 19034 21339 28452 28551 38068 42678 57102 73501 85356 85653 114204 147002 171306 220503 294004 342612 441006 661509 727897 882012 1323018 1455794 2183691 2646036 2911588 4367382 6551073 8734764 13102146 22564807 26204292 45129614 67694421 90259228 135388842 203083263 270777684 406166526 812333052