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930286812 = 2237133127481
BaseRepresentation
bin110111011100110…
…000110011011100
32101211111110121010
4313130300303130
53401123134222
6232151135220
732024210310
oct6734606334
92354443533
10930286812
11438139284
1221b674510
1311a96c090
148b7a1b40
1556a1080c
hex37730cdc

930286812 has 96 divisors (see below), whose sum is σ = 2757873664. Its totient is φ = 237427200.

The previous prime is 930286789. The next prime is 930286813. The reversal of 930286812 is 218682039.

It is a happy number.

It is a super-2 number, since 2×9302868122 = 1730867105162246688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930286813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20112 + ... + 47592.

Almost surely, 2930286812 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 930286812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378936832).

930286812 is an abundant number, since it is smaller than the sum of its proper divisors (1827586852).

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

930286812 is a wasteful number, since it uses less digits than its factorization.

930286812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27539 (or 27537 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 930286812 is about 30500.6034694397. The cubic root of 930286812 is about 976.2003404358.

The spelling of 930286812 in words is "nine hundred thirty million, two hundred eighty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 4836 5642 8463 11284 16926 27481 33852 54962 82443 109924 164886 192367 329772 357253 384734 577101 714506 769468 851911 1071759 1154202 1429012 1703822 2143518 2308404 2500771 2555733 3407644 4287036 5001542 5111466 5963377 7502313 10003084 10222932 11074843 11926754 15004626 17890131 22149686 23853508 30009252 33224529 35780262 44299372 66449058 71560524 77523901 132898116 155047802 232571703 310095604 465143406 930286812