Search a number
-
+
486974880 = 25325748311
BaseRepresentation
bin11101000001101…
…010010110100000
31020221022212221200
4131001222112200
51444131144010
6120153321200
715032134560
oct3501522640
91227285850
10486974880
1122a980487
12117106200
1379b74622
1448964da0
152cb43cc0
hex1d06a5a0

486974880 has 144 divisors (see below), whose sum is σ = 1899241344. Its totient is φ = 111306240.

The previous prime is 486974819. The next prime is 486974899. The reversal of 486974880 is 88479684.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14076 + ... + 34235.

It is an arithmetic number, because the mean of its divisors is an integer number (13189176).

Almost surely, 2486974880 is an apocalyptic number.

486974880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486974880 is an abundant number, since it is smaller than the sum of its proper divisors (1412266464).

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

486974880 is a wasteful number, since it uses less digits than its factorization.

486974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48339 (or 48328 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 486974880 is about 22067.5073354468. The cubic root of 486974880 is about 786.7477684587.

The spelling of 486974880 in words is "four hundred eighty-six million, nine hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 48311 96622 144933 193244 241555 289866 338177 386488 434799 483110 579732 676354 724665 772976 869598 966220 1014531 1159464 1352708 1449330 1545952 1690885 1739196 1932440 2029062 2173995 2318928 2705416 2898660 3043593 3381770 3478392 3864880 4058124 4347990 4637856 5072655 5410832 5797320 6087186 6763540 6956784 7729760 8116248 8695980 10145310 10821664 11594640 12174372 13527080 13913568 15217965 16232496 17391960 20290620 23189280 24348744 27054160 30435930 32464992 34783920 40581240 48697488 54108320 60871860 69567840 81162480 97394976 121743720 162324960 243487440 486974880