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488892120 = 233517475099
BaseRepresentation
bin11101001000111…
…110011011011000
31021001221021220120
4131020332123120
52000124021440
6120302353240
715054341313
oct3510763330
91231837816
10488892120
11230a6a982
1211788b820
137a3961a2
1448d0397a
152cdc1dd0
hex1d23e6d8

488892120 has 128 divisors (see below), whose sum is σ = 1586304000. Its totient is φ = 120068096.

The previous prime is 488892091. The next prime is 488892143. The reversal of 488892120 is 21298884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93331 + ... + 98429.

It is an arithmetic number, because the mean of its divisors is an integer number (12393000).

Almost surely, 2488892120 is an apocalyptic number.

488892120 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 488892120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

488892120 is an abundant number, since it is smaller than the sum of its proper divisors (1097411880).

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

488892120 is a wasteful number, since it uses less digits than its factorization.

488892120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 488892120 is about 22110.9050018311. The cubic root of 488892120 is about 787.7789024715.

The spelling of 488892120 in words is "four hundred eighty-eight million, eight hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 282 340 376 408 470 510 564 680 705 799 940 1020 1128 1410 1598 1880 2040 2397 2820 3196 3995 4794 5099 5640 6392 7990 9588 10198 11985 15297 15980 19176 20396 23970 25495 30594 31960 40792 47940 50990 61188 76485 86683 95880 101980 122376 152970 173366 203960 239653 260049 305940 346732 433415 479306 520098 611880 693464 718959 866830 958612 1040196 1198265 1300245 1437918 1733660 1917224 2080392 2396530 2600490 2875836 3467320 3594795 4074101 4793060 5200980 5751672 7189590 8148202 9586120 10401960 12222303 14379180 16296404 20370505 24444606 28758360 32592808 40741010 48889212 61111515 81482020 97778424 122223030 162964040 244446060 488892120