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906076812 = 2231723296659
BaseRepresentation
bin110110000000011…
…010001010001100
32100010221110201110
4312000122022030
53323423424222
6225524212020
731311345234
oct6600321214
92303843643
10906076812
11425502a13
1221353a010
13115943634
148849ccc4
155482c30c
hex3601a28c

906076812 has 96 divisors (see below), whose sum is σ = 2416780800. Its totient is φ = 262484992.

The previous prime is 906076811. The next prime is 906076819. The reversal of 906076812 is 218670609.

It is not an unprimeable number, because it can be changed into a prime (906076811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 132739 + ... + 139397.

It is an arithmetic number, because the mean of its divisors is an integer number (25174800).

Almost surely, 2906076812 is an apocalyptic number.

906076812 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906076812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208390400).

906076812 is an abundant number, since it is smaller than the sum of its proper divisors (1510703988).

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

906076812 is a wasteful number, since it uses less digits than its factorization.

906076812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 906076812 is about 30101.1098134271. The cubic root of 906076812 is about 967.6575112289.

The spelling of 906076812 in words is "nine hundred six million, seventy-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 29 34 46 51 58 68 69 87 92 102 116 138 174 204 276 348 391 493 667 782 986 1173 1334 1479 1564 1972 2001 2346 2668 2958 4002 4692 5916 6659 8004 11339 13318 19977 22678 26636 34017 39954 45356 68034 79908 113203 136068 153157 193111 226406 306314 339609 386222 452812 459471 579333 612628 679218 772444 918942 1158666 1358436 1837884 2317332 2603669 3282887 4441553 5207338 6565774 7811007 8883106 9848661 10414676 13131548 13324659 15622014 17766212 19697322 26649318 31244028 39394644 53298636 75506401 151012802 226519203 302025604 453038406 906076812