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484928080 = 245713591129
BaseRepresentation
bin11100111001110…
…110101001010000
31020210110220021021
4130321312221100
51443120144310
6120041405224
715005551330
oct3471665120
91223426237
10484928080
1122980270a
12116499814
1379608ac0
14485910c0
152c88c5da
hex1ce76a50

484928080 has 160 divisors (see below), whose sum is σ = 1412409600. Its totient is φ = 150736896.

The previous prime is 484928057. The next prime is 484928107. The reversal of 484928080 is 80829484.

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, 428956 + ... + 430084.

It is an arithmetic number, because the mean of its divisors is an integer number (8827560).

Almost surely, 2484928080 is an apocalyptic number.

484928080 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 484928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706204800).

484928080 is an abundant number, since it is smaller than the sum of its proper divisors (927481520).

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

484928080 is a wasteful number, since it uses less digits than its factorization.

484928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 484928080 is about 22021.0826255205. The cubic root of 484928080 is about 785.6439629151.

The spelling of 484928080 in words is "four hundred eighty-four million, nine hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 59 65 70 80 91 104 112 118 130 140 182 208 236 260 280 295 364 413 455 472 520 560 590 728 767 826 910 944 1040 1129 1180 1456 1534 1652 1820 2065 2258 2360 3068 3304 3640 3835 4130 4516 4720 5369 5645 6136 6608 7280 7670 7903 8260 9032 10738 11290 12272 14677 15340 15806 16520 18064 21476 22580 26845 29354 30680 31612 33040 39515 42952 45160 53690 58708 61360 63224 66611 73385 79030 85904 90320 102739 107380 117416 126448 133222 146770 158060 205478 214760 234832 266444 293540 316120 333055 410956 429520 466277 513695 532888 587080 632240 666110 821912 865943 932554 1027390 1065776 1174160 1332220 1643824 1731886 1865108 2054780 2331385 2664440 3463772 3730216 4109560 4329715 4662770 5328880 6061601 6927544 7460432 8219120 8659430 9325540 12123202 13855088 17318860 18651080 24246404 30308005 34637720 37302160 48492808 60616010 69275440 96985616 121232020 242464040 484928080