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487746882 = 232722919069
BaseRepresentation
bin11101000100100…
…110110101000010
31020222210002221100
4131010212311002
51444330400012
6120222035230
715041531400
oct3504466502
91228702840
10487746882
112303584a7
12117418b16
137a084b2c
1448ac6470
152cc478dc
hex1d126d42

487746882 has 72 divisors (see below), whose sum is σ = 1271778300. Its totient is φ = 134543808.

The previous prime is 487746859. The next prime is 487746899. The reversal of 487746882 is 288647784.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 424401201 + 63345681 = 20601^2 + 7959^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16044 + ... + 35112.

Almost surely, 2487746882 is an apocalyptic number.

487746882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 487746882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635889150).

487746882 is an abundant number, since it is smaller than the sum of its proper divisors (784031418).

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

487746882 is a wasteful number, since it uses less digits than its factorization.

487746882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19120 (or 19110 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 487746882 is about 22084.9922345470. The cubic root of 487746882 is about 787.1632930937.

The spelling of 487746882 in words is "four hundred eighty-seven million, seven hundred forty-six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 12789 19069 25578 38138 57207 114414 133483 171621 266966 343242 400449 553001 800898 934381 1106002 1201347 1659003 1868762 2402694 2803143 3318006 3871007 4977009 5606286 7742014 8409429 9954018 11613021 16818858 23226042 27097049 34839063 54194098 69678126 81291147 162582294 243873441 487746882