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486792240 = 243511238017
BaseRepresentation
bin11101000000111…
…101110000110000
31020220222121102020
4131000331300300
51444104322430
6120145351440
715030444234
oct3500756060
91226877366
10486792240
1122a866240
12117038580
1379b0c45c
14489185c4
152cb09b10
hex1d03dc30

486792240 has 160 divisors (see below), whose sum is σ = 1718032896. Its totient is φ = 112865280.

The previous prime is 486792203. The next prime is 486792247. The reversal of 486792240 is 42297684.

It is a junction number, because it is equal to n+sod(n) for n = 486792192 and 486792201.

It is not an unprimeable number, because it can be changed into a prime (486792247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56712 + ... + 64728.

Almost surely, 2486792240 is an apocalyptic number.

486792240 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 486792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859016448).

486792240 is an abundant number, since it is smaller than the sum of its proper divisors (1231240656).

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

486792240 is a wasteful number, since it uses less digits than its factorization.

486792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 486792240 is about 22063.3687364373. The cubic root of 486792240 is about 786.6493995380.

The spelling of 486792240 in words is "four hundred eighty-six million, seven hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 8017 10120 12144 15180 16034 20240 24051 30360 32068 40085 48102 60720 64136 80170 88187 96204 120255 128272 160340 176374 184391 192408 240510 264561 320680 352748 368782 384816 440935 481020 529122 553173 641360 705496 737564 881870 921955 962040 1058244 1106346 1322805 1410992 1475128 1763740 1843910 1924080 2028301 2116488 2212692 2645610 2765865 2950256 3527480 3687820 4056602 4232976 4425384 5291220 5531730 6084903 7054960 7375640 8113204 8850768 10141505 10582440 11063460 12169806 14751280 16226408 20283010 21164880 22126920 24339612 30424515 32452816 40566020 44253840 48679224 60849030 81132040 97358448 121698060 162264080 243396120 486792240