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486039888 = 24323739049
BaseRepresentation
bin11100111110000…
…110000101010000
31020212120101101100
4130332012011100
51443411234023
6120121304400
715021161625
oct3476060520
91225511340
10486039888
1122a3a1a64
12116935100
1379907b89
14487a034c
152ca0bc43
hex1cf86150

486039888 has 60 divisors (see below), whose sum is σ = 1364034100. Its totient is φ = 161561088.

The previous prime is 486039847. The next prime is 486039901. The reversal of 486039888 is 888930684.

It can be written as a sum of positive squares in 2 ways, for example, as 338854464 + 147185424 = 18408^2 + 12132^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 49188 + ... + 58236.

Almost surely, 2486039888 is an apocalyptic number.

486039888 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 486039888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682017050).

486039888 is an abundant number, since it is smaller than the sum of its proper divisors (877994212).

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

486039888 is a wasteful number, since it uses less digits than its factorization.

486039888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 486039888 is about 22046.3123446984. The cubic root of 486039888 is about 786.2439271666.

The spelling of 486039888 in words is "four hundred eighty-six million, thirty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 9049 13428 17904 18098 26856 27147 36196 53712 54294 72392 81441 108588 144784 162882 217176 325764 434352 651528 1303056 3375277 6750554 10125831 13501108 20251662 27002216 30377493 40503324 54004432 60754986 81006648 121509972 162013296 243019944 486039888