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485901720 = 233354310463
BaseRepresentation
bin11100111101100…
…100010110011000
31020212022100212000
4130331210112120
51443342323340
6120114321000
715020045043
oct3475442630
91225270760
10485901720
1122a308177
12116889160
137988a015
1448765c5a
152c9d0d30
hex1cf64598

485901720 has 128 divisors (see below), whose sum is σ = 1657497600. Its totient is φ = 126548352.

The previous prime is 485901673. The next prime is 485901727. The reversal of 485901720 is 27109584.

485901720 is a `hidden beast` number, since 48 + 590 + 1 + 7 + 20 = 666.

It is a super-2 number, since 2×4859017202 = 472200962997916800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485901727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41209 + ... + 51671.

It is an arithmetic number, because the mean of its divisors is an integer number (12949200).

Almost surely, 2485901720 is an apocalyptic number.

485901720 is a gapful number since it is divisible by the number (40) 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 485901720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828748800).

485901720 is an abundant number, since it is smaller than the sum of its proper divisors (1171595880).

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

485901720 is a wasteful number, since it uses less digits than its factorization.

485901720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 485901720 is about 22043.1785366811. The cubic root of 485901720 is about 786.1694174750.

The spelling of 485901720 in words is "four hundred eighty-five million, nine hundred one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 10463 11610 15480 20926 23220 31389 41852 46440 52315 62778 83704 94167 104630 125556 156945 188334 209260 251112 282501 313890 376668 418520 449909 470835 565002 627780 753336 899818 941670 1130004 1255560 1349727 1412505 1799636 1883340 2249545 2260008 2699454 2825010 3599272 3766680 4049181 4499090 5398908 5650020 6748635 8098362 8998180 10797816 11300040 12147543 13497270 16196724 17996360 20245905 24295086 26994540 32393448 40491810 48590172 53989080 60737715 80983620 97180344 121475430 161967240 242950860 485901720