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486842112 = 28321311613
BaseRepresentation
bin11101000001001…
…001111100000000
31020221002010211100
4131001021330000
51444112421422
6120150414400
715031042521
oct3501117400
91227063740
10486842112
1122a89a759
12117061400
1379b29073
144892c848
152cb197ac
hex1d049f00

486842112 has 108 divisors (see below), whose sum is σ = 1415277864. Its totient is φ = 160942080.

The previous prime is 486842063. The next prime is 486842123. The reversal of 486842112 is 211248684.

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 a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 301018 + ... + 302630.

Almost surely, 2486842112 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 486842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707638932).

486842112 is an abundant number, since it is smaller than the sum of its proper divisors (928435752).

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

486842112 is a wasteful number, since it uses less digits than its factorization.

486842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 486842112 is about 22064.4989066147. The cubic root of 486842112 is about 786.6762627704.

The spelling of 486842112 in words is "four hundred eighty-six million, eight hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 524 576 768 786 1048 1152 1179 1572 1613 2096 2304 2358 3144 3226 4192 4716 4839 6288 6452 8384 9432 9678 12576 12904 14517 16768 18864 19356 25152 25808 29034 33536 37728 38712 50304 51616 58068 75456 77424 100608 103232 116136 150912 154848 206464 211303 232272 301824 309696 412928 422606 464544 619392 633909 845212 929088 1238784 1267818 1690424 1858176 1901727 2535636 3380848 3716352 3803454 5071272 6761696 7606908 10142544 13523392 15213816 20285088 27046784 30427632 40570176 54093568 60855264 81140352 121710528 162280704 243421056 486842112