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488360349 = 321134331109
BaseRepresentation
bin11101000110111…
…100100110011101
31021000221021110100
4131012330212131
52000010012344
6120243131313
715046665051
oct3506744635
91230837410
10488360349
112307373a4
12117673b39
137a23b129
1448c05c61
152cd19569
hex1d1bc99d

488360349 has 24 divisors (see below), whose sum is σ = 713938680. Its totient is φ = 321656832.

The previous prime is 488360347. The next prime is 488360393. The reversal of 488360349 is 943063884.

It can be written as a sum of positive squares in 4 ways, for example, as 105884100 + 382476249 = 10290^2 + 19557^2 .

It is not a de Polignac number, because 488360349 - 21 = 488360347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488360347) by changing a digit.

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, 439807 + ... + 440915.

It is an arithmetic number, because the mean of its divisors is an integer number (29747445).

Almost surely, 2488360349 is an apocalyptic number.

It is an amenable number.

488360349 is a deficient number, since it is larger than the sum of its proper divisors (225578331).

488360349 is a wasteful number, since it uses less digits than its factorization.

488360349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 488360349 is about 22098.8766456578. The cubic root of 488360349 is about 787.4931748464.

The spelling of 488360349 in words is "four hundred eighty-eight million, three hundred sixty thousand, three hundred forty-nine".

Divisors: 1 3 9 113 339 433 1017 1109 1299 3327 3897 9981 48929 125317 146787 375951 440361 480197 1127853 1440591 4321773 54262261 162786783 488360349