Search a number
-
+
485840040 = 233572325147
BaseRepresentation
bin11100111101010…
…101010010101000
31020212012020020120
4130331111102220
51443333340130
6120113123240
715016400160
oct3475252250
91225166216
10485840040
1122a2758a4
12116859520
1379867c1a
144874b5a0
152c9bc910
hex1cf554a8

485840040 has 128 divisors (see below), whose sum is σ = 1738229760. Its totient is φ = 106216704.

The previous prime is 485840023. The next prime is 485840041. The reversal of 485840040 is 40048584.

It is a junction number, because it is equal to n+sod(n) for n = 485839983 and 485840010.

It is not an unprimeable number, because it can be changed into a prime (485840041) 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, 6747 + ... + 31893.

It is an arithmetic number, because the mean of its divisors is an integer number (13579920).

Almost surely, 2485840040 is an apocalyptic number.

485840040 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 485840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869114880).

485840040 is an abundant number, since it is smaller than the sum of its proper divisors (1252389720).

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

485840040 is a wasteful number, since it uses less digits than its factorization.

485840040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25191 (or 25187 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 485840040 is about 22041.7794200015. The cubic root of 485840040 is about 786.1361508152.

The spelling of 485840040 in words is "four hundred eighty-five million, eight hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 25147 50294 75441 100588 125735 150882 176029 201176 251470 301764 352058 377205 502940 528087 578381 603528 704116 754410 880145 1005880 1056174 1156762 1408232 1508820 1735143 1760290 2112348 2313524 2640435 2891905 3017640 3470286 3520580 4048667 4224696 4627048 5280870 5783810 6940572 7041160 8097334 8675715 10561740 11567620 12146001 13881144 16194668 17351430 20243335 21123480 23135240 24292002 32389336 34702860 40486670 48584004 60730005 69405720 80973340 97168008 121460010 161946680 242920020 485840040