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485937630 = 234529137151
BaseRepresentation
bin11100111101101…
…101000111011110
31020212101012010000
4130331231013132
51443400001010
6120115155130
715020254533
oct3475550736
91225335100
10485937630
1122a332152
121168a5aa6
13798a0479
1448774d8a
152c9db7c0
hex1cf6d1de

485937630 has 160 divisors (see below), whose sum is σ = 1370571840. Its totient is φ = 123379200.

The previous prime is 485937619. The next prime is 485937643. The reversal of 485937630 is 36739584.

485937630 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 3 + 7 + 630 = 666.

It is a super-2 number, since 2×4859376302 = 472270760500033800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3218055 + ... + 3218205.

It is an arithmetic number, because the mean of its divisors is an integer number (8566074).

Almost surely, 2485937630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485937630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685285920).

485937630 is an abundant number, since it is smaller than the sum of its proper divisors (884634210).

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

485937630 is a wasteful number, since it uses less digits than its factorization.

485937630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 485937630 is about 22043.9930593348. The cubic root of 485937630 is about 786.1887839759.

The spelling of 485937630 in words is "four hundred eighty-five million, nine hundred thirty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 137 145 151 162 174 261 270 274 290 302 405 411 435 453 522 685 755 783 810 822 870 906 1233 1305 1359 1370 1510 1566 2055 2265 2349 2466 2610 2718 3699 3915 3973 4077 4110 4379 4530 4698 6165 6795 7398 7830 7946 8154 8758 11097 11745 11919 12231 12330 13137 13590 18495 19865 20385 20687 21895 22194 23490 23838 24462 26274 35757 36990 39411 39730 40770 41374 43790 55485 59595 61155 62061 65685 71514 78822 103435 107271 110970 118233 119190 122310 124122 131370 178785 186183 197055 206870 214542 236466 310305 321813 354699 357570 372366 394110 536355 558549 591165 599923 620610 643626 709398 930915 1072710 1117098 1182330 1199846 1609065 1675647 1773495 1799769 1861830 2792745 2999615 3218130 3351294 3546990 3599538 5399307 5585490 5999230 8378235 8998845 10798614 16197921 16756470 17997690 26996535 32395842 48593763 53993070 80989605 97187526 161979210 242968815 485937630