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488504268 = 223272389947
BaseRepresentation
bin11101000111011…
…111101111001100
31021001012120212200
4131013133233030
52000024114033
6120250201500
715051134460
oct3507375714
91231176780
10488504268
1123082553a
12117723290
137a28b7a5
1448c424a0
152cd47013
hex1d1dfbcc

488504268 has 144 divisors (see below), whose sum is σ = 1490711040. Its totient is φ = 131864832.

The previous prime is 488504257. The next prime is 488504273. The reversal of 488504268 is 862405884.

488504268 is a `hidden beast` number, since 4 + 88 + 504 + 2 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515371 + ... + 516317.

It is an arithmetic number, because the mean of its divisors is an integer number (10352160).

Almost surely, 2488504268 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 488504268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

488504268 is an abundant number, since it is smaller than the sum of its proper divisors (1002206772).

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

488504268 is a wasteful number, since it uses less digits than its factorization.

488504268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 488504268 is about 22102.1326572799. The cubic root of 488504268 is about 787.5705249009.

The spelling of 488504268 in words is "four hundred eighty-eight million, five hundred four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 89 92 126 138 161 178 207 252 267 276 322 356 414 483 534 623 644 801 828 947 966 1068 1246 1449 1602 1869 1894 1932 2047 2492 2841 2898 3204 3738 3788 4094 5607 5682 5796 6141 6629 7476 8188 8523 11214 11364 12282 13258 14329 17046 18423 19887 21781 22428 24564 26516 28658 34092 36846 39774 42987 43562 57316 59661 65343 73692 79548 84283 85974 87124 119322 128961 130686 152467 168566 171948 196029 238644 252849 257922 261372 304934 337132 392058 457401 505698 515844 589981 609868 758547 784116 914802 1011396 1179962 1372203 1517094 1769943 1829604 1938509 2359924 2744406 3034188 3539886 3877018 5309829 5488812 5815527 7079772 7754036 10619658 11631054 13569563 17446581 21239316 23262108 27139126 34893162 40708689 54278252 69786324 81417378 122126067 162834756 244252134 488504268