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485951312 = 247111313011
BaseRepresentation
bin11100111101110…
…000011101010000
31020212101212212202
4130331300131100
51443400420222
6120115342332
715020342450
oct3475603520
91225355782
10485951312
1122a341460
121168b19a8
13798a6772
1448779d60
152c9e0892
hex1cf70750

485951312 has 80 divisors (see below), whose sum is σ = 1183209984. Its totient is φ = 187824000.

The previous prime is 485951293. The next prime is 485951339. The reversal of 485951312 is 213159584.

It is a happy number.

It is a super-2 number, since 2×4859513122 = 472297355269042688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159887 + ... + 162897.

Almost surely, 2485951312 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 485951312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591604992).

485951312 is an abundant number, since it is smaller than the sum of its proper divisors (697258672).

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

485951312 is a wasteful number, since it uses less digits than its factorization.

485951312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3162 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 485951312 is about 22044.3033911258. The cubic root of 485951312 is about 786.1961625182.

The spelling of 485951312 in words is "four hundred eighty-five million, nine hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 131 154 176 262 308 524 616 917 1048 1232 1441 1834 2096 2882 3011 3668 5764 6022 7336 10087 11528 12044 14672 20174 21077 23056 24088 33121 40348 42154 48176 66242 80696 84308 132484 161392 168616 231847 264968 337232 394441 463694 529936 788882 927388 1577764 1854776 2761087 3155528 3709552 4338851 5522174 6311056 8677702 11044348 17355404 22088696 30371957 34710808 44177392 60743914 69421616 121487828 242975656 485951312