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488332405 = 51127311057
BaseRepresentation
bin11101000110110…
…101110001110101
31021000212212010101
4131012311301311
52000003114110
6120242354101
715046520431
oct3506656165
91230785111
10488332405
11230718400
1211765b931
137a22b4b2
1448bd99c1
152cd1113a
hex1d1b5c75

488332405 has 24 divisors (see below), whose sum is σ = 652997016. Its totient is φ = 350254080.

The previous prime is 488332393. The next prime is 488332423. The reversal of 488332405 is 504233884.

It can be written as a sum of positive squares in 4 ways, for example, as 16834609 + 471497796 = 4103^2 + 21714^2 .

It is not a de Polignac number, because 488332405 - 211 = 488330357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38637 + ... + 49693.

It is an arithmetic number, because the mean of its divisors is an integer number (27208209).

Almost surely, 2488332405 is an apocalyptic number.

It is an amenable number.

488332405 is a deficient number, since it is larger than the sum of its proper divisors (164664611).

488332405 is a wasteful number, since it uses less digits than its factorization.

488332405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 488332405 is about 22098.2443872811. The cubic root of 488332405 is about 787.4781544289.

The spelling of 488332405 in words is "four hundred eighty-eight million, three hundred thirty-two thousand, four hundred five".

Divisors: 1 5 11 55 73 121 365 605 803 4015 8833 11057 44165 55285 121627 608135 807161 1337897 4035805 6689485 8878771 44393855 97666481 488332405