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538985880 = 233352917209
BaseRepresentation
bin100000001000000…
…100010110011000
31101120012022122000
4200020010112120
52100440022010
6125252201000
716233206256
oct4010042630
91346168560
10538985880
11257275084
12130609160
1387885174
14518235d6
15324b97c0
hex20204598

538985880 has 128 divisors (see below), whose sum is σ = 1858680000. Its totient is φ = 138765312.

The previous prime is 538985879. The next prime is 538985891. The reversal of 538985880 is 88589835.

538985880 is a `hidden beast` number, since 53 + 8 + 9 + 8 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 22716 + ... + 39924.

Almost surely, 2538985880 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 538985880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929340000).

538985880 is an abundant number, since it is smaller than the sum of its proper divisors (1319694120).

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

538985880 is a wasteful number, since it uses less digits than its factorization.

538985880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17258 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 538985880 is about 23216.0694347687. The cubic root of 538985880 is about 813.8151979022.

The spelling of 538985880 in words is "five hundred thirty-eight million, nine hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 17209 31320 34418 51627 68836 86045 103254 137672 154881 172090 206508 258135 309762 344180 413016 464643 499061 516270 619524 688360 774405 929286 998122 1032540 1239048 1497183 1548810 1858572 1996244 2065080 2323215 2495305 2994366 3097620 3717144 3992488 4491549 4646430 4990610 5988732 6195240 7485915 8983098 9292860 9981220 11977464 13474647 14971830 17966196 18585720 19962440 22457745 26949294 29943660 35932392 44915490 53898588 59887320 67373235 89830980 107797176 134746470 179661960 269492940 538985880