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486836688 = 243132926903
BaseRepresentation
bin11101000001001…
…000100111010000
31020221001212101110
4131001020213100
51444112233223
6120150333320
715031020642
oct3501104720
91227055343
10486836688
1122a896678
1211705a240
1379b26760
144892a892
152cb17d93
hex1d0489d0

486836688 has 80 divisors (see below), whose sum is σ = 1401160320. Its totient is φ = 144625152.

The previous prime is 486836683. The next prime is 486836689. The reversal of 486836688 is 886638684.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486836681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4645 + ... + 31547.

It is an arithmetic number, because the mean of its divisors is an integer number (17514504).

Almost surely, 2486836688 is an apocalyptic number.

486836688 is a gapful number since it is divisible by the number (48) 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 486836688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700580160).

486836688 is an abundant number, since it is smaller than the sum of its proper divisors (914323632).

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

486836688 is a wasteful number, since it uses less digits than its factorization.

486836688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26956 (or 26950 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The square root of 486836688 is about 22064.3759938957. The cubic root of 486836688 is about 786.6733412565.

The spelling of 486836688 in words is "four hundred eighty-six million, eight hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 26903 53806 80709 107612 161418 215224 322836 349739 430448 645672 699478 780187 1049217 1291344 1398956 1560374 2098434 2340561 2797912 3120748 4196868 4681122 5595824 6241496 8393736 9362244 10142431 12482992 16787472 18724488 20284862 30427293 37448976 40569724 60854586 81139448 121709172 162278896 243418344 486836688