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488192940 = 223352321709
BaseRepresentation
bin11101000110010…
…011101110101100
31021000121202211000
4131012103232230
51444434133230
6120235400300
715045400014
oct3506235654
91230552730
10488192940
11230632644
121175b3090
137a1acb81
1448ba0c44
152ccd4b60
hex1d193bac

488192940 has 144 divisors (see below), whose sum is σ = 1588658400. Its totient is φ = 124451712.

The previous prime is 488192923. The next prime is 488192959. The reversal of 488192940 is 49291884.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 284806 + ... + 286514.

It is an arithmetic number, because the mean of its divisors is an integer number (11032350).

Almost surely, 2488192940 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 488192940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794329200).

488192940 is an abundant number, since it is smaller than the sum of its proper divisors (1100465460).

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

488192940 is a wasteful number, since it uses less digits than its factorization.

488192940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 488192940 is about 22095.0885945271. The cubic root of 488192940 is about 787.4031808408.

The spelling of 488192940 in words is "four hundred eighty-eight million, one hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 529 540 621 690 828 1035 1058 1242 1380 1587 1709 2070 2116 2484 2645 3105 3174 3418 4140 4761 5127 5290 6210 6348 6836 7935 8545 9522 10254 10580 12420 14283 15381 15870 17090 19044 20508 23805 25635 28566 30762 31740 34180 39307 46143 47610 51270 57132 61524 71415 76905 78614 92286 95220 102540 117921 142830 153810 157228 184572 196535 230715 235842 285660 307620 353763 393070 461430 471684 589605 707526 786140 904061 922860 1061289 1179210 1415052 1768815 1808122 2122578 2358420 2712183 3537630 3616244 4245156 4520305 5306445 5424366 7075260 8136549 9040610 10612890 10848732 13560915 16273098 18081220 21225780 24409647 27121830 32546196 40682745 48819294 54243660 81365490 97638588 122048235 162730980 244096470 488192940