Search a number
-
+
488773000 = 23532379269
BaseRepresentation
bin11101001000100…
…001010110001000
31021001201020111201
4131020201112020
52000111214000
6120300033544
715053334112
oct3510412610
91231636451
10488773000
11230999431
121178328b4
137a353bc1
1448cb23b2
152cd9b96a
hex1d221588

488773000 has 128 divisors (see below), whose sum is σ = 1213056000. Its totient is φ = 183955200.

The previous prime is 488772937. The next prime is 488773031. The reversal of 488773000 is 377884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816866 + ... + 1817134.

It is an arithmetic number, because the mean of its divisors is an integer number (9477000).

Almost surely, 2488773000 is an apocalyptic number.

488773000 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 488773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606528000).

488773000 is an abundant number, since it is smaller than the sum of its proper divisors (724283000).

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

488773000 is a wasteful number, since it uses less digits than its factorization.

488773000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 488773000 is about 22108.2111442785. The cubic root of 488773000 is about 787.7149157271.

The spelling of 488773000 in words is "four hundred eighty-eight million, seven hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 79 92 100 115 125 158 184 200 230 250 269 316 395 460 500 538 575 632 790 920 1000 1076 1150 1345 1580 1817 1975 2152 2300 2690 2875 3160 3634 3950 4600 5380 5750 6187 6725 7268 7900 9085 9875 10760 11500 12374 13450 14536 15800 18170 19750 21251 23000 24748 26900 30935 33625 36340 39500 42502 45425 49496 53800 61870 67250 72680 79000 85004 90850 106255 123740 134500 154675 170008 181700 212510 227125 247480 269000 309350 363400 425020 454250 488773 531275 618700 773375 850040 908500 977546 1062550 1237400 1546750 1817000 1955092 2125100 2443865 2656375 3093500 3910184 4250200 4887730 5312750 6187000 9775460 10625500 12219325 19550920 21251000 24438650 48877300 61096625 97754600 122193250 244386500 488773000