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488382288 = 24321148221
BaseRepresentation
bin11101000111000…
…001111101010000
31021000222101112220
4131013001331100
52000011213123
6120243421040
715050116032
oct3507017520
91230871486
10488382288
11230751929
12117684780
137a248104
1448c0dc52
152cd20ce3
hex1d1c1f50

488382288 has 40 divisors (see below), whose sum is σ = 1267659936. Its totient is φ = 162019200.

The previous prime is 488382281. The next prime is 488382319. The reversal of 488382288 is 882283884.

It is a super-2 number, since 2×4883822882 = 477034518464229888, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 488382288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488382281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13983 + ... + 34238.

Almost surely, 2488382288 is an apocalyptic number.

488382288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

488382288 is an abundant number, since it is smaller than the sum of its proper divisors (779277648).

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

488382288 is a wasteful number, since it uses less digits than its factorization.

488382288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48443 (or 48437 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 51.

The square root of 488382288 is about 22099.3730227805. The cubic root of 488382288 is about 787.5049670637.

The spelling of 488382288 in words is "four hundred eighty-eight million, three hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 211 422 633 844 1266 1688 2532 3376 5064 10128 48221 96442 144663 192884 289326 385768 578652 771536 1157304 2314608 10174631 20349262 30523893 40698524 61047786 81397048 122095572 162794096 244191144 488382288