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468239112 = 2332113111901
BaseRepresentation
bin11011111010001…
…100001100001000
31012122002000022100
4123322030030020
51424332122422
6114243553400
714413652415
oct3372141410
91178060270
10468239112
11220343a80
1211098b860
1376014783
144628910c
152b1927ac
hex1be8c308

468239112 has 96 divisors (see below), whose sum is σ = 1388612160. Its totient is φ = 141360000.

The previous prime is 468239099. The next prime is 468239113. The reversal of 468239112 is 211932864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (468239113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 245362 + ... + 247262.

It is an arithmetic number, because the mean of its divisors is an integer number (14464710).

Almost surely, 2468239112 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 468239112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694306080).

468239112 is an abundant number, since it is smaller than the sum of its proper divisors (920373048).

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

468239112 is a wasteful number, since it uses less digits than its factorization.

468239112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2228 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 468239112 is about 21638.8334251179. The cubic root of 468239112 is about 776.5258109566.

The spelling of 468239112 in words is "four hundred sixty-eight million, two hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 311 396 622 792 933 1244 1866 1901 2488 2799 3421 3732 3802 5598 5703 6842 7464 7604 10263 11196 11406 13684 15208 17109 20526 20911 22392 22812 27368 30789 34218 41052 41822 45624 61578 62733 68436 82104 83644 123156 125466 136872 167288 188199 246312 250932 376398 501864 591211 752796 1182422 1505592 1773633 2364844 3547266 4729688 5320899 6503321 7094532 10641798 13006642 14189064 19509963 21283596 26013284 39019926 42567192 52026568 58529889 78039852 117059778 156079704 234119556 468239112