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485935020 = 2232529127733
BaseRepresentation
bin11100111101101…
…100011110101100
31020212101001112100
4130331230132230
51443344410040
6120115135100
715020244114
oct3475543654
91225331470
10485935020
1122a33019a
121168a4490
137989c21c
1448774044
152c9dab30
hex1cf6c7ac

485935020 has 144 divisors (see below), whose sum is σ = 1538933760. Its totient is φ = 123959808.

The previous prime is 485935003. The next prime is 485935061. The reversal of 485935020 is 20539584.

485935020 is a `hidden beast` number, since 48 + 593 + 5 + 0 + 20 = 666.

It is a super-2 number, since 2×4859350202 = 472265687324800800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662574 + ... + 663306.

It is an arithmetic number, because the mean of its divisors is an integer number (10687040).

Almost surely, 2485935020 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 485935020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769466880).

485935020 is an abundant number, since it is smaller than the sum of its proper divisors (1052998740).

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

485935020 is a wasteful number, since it uses less digits than its factorization.

485935020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 485935020 is about 22043.9338594544. The cubic root of 485935020 is about 786.1873764178.

The spelling of 485935020 in words is "four hundred eighty-five million, nine hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 127 145 174 180 254 261 290 348 381 435 508 522 580 635 733 762 870 1044 1143 1270 1305 1466 1524 1740 1905 2199 2286 2540 2610 2932 3665 3683 3810 4398 4572 5220 5715 6597 7330 7366 7620 8796 10995 11049 11430 13194 14660 14732 18415 21257 21990 22098 22860 26388 32985 33147 36830 42514 43980 44196 55245 63771 65970 66294 73660 85028 93091 106285 110490 127542 131940 132588 165735 186182 191313 212570 220980 255084 279273 318855 331470 372364 382626 425140 465455 558546 637710 662940 765252 837819 930910 956565 1117092 1275420 1396365 1675638 1861820 1913130 2699639 2792730 3351276 3826260 4189095 5399278 5585460 8098917 8378190 10798556 13498195 16197834 16756380 24296751 26996390 32395668 40494585 48593502 53992780 80989170 97187004 121483755 161978340 242967510 485935020