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488718648 = 2332117379107
BaseRepresentation
bin11101001000010…
…100000100111000
31021001121110221200
4131020110010320
52000102444043
6120254534200
715053016465
oct3510240470
91231543850
10488718648
11230961610
12117807360
137a335242
1448c9a66c
152cd8a7d3
hex1d214138

488718648 has 192 divisors, whose sum is σ = 1496102400. Its totient is φ = 142871040.

The previous prime is 488718619. The next prime is 488718649. The reversal of 488718648 is 846817884.

It is a junction number, because it is equal to n+sod(n) for n = 488718594 and 488718603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488718649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4567411 + ... + 4567517.

It is an arithmetic number, because the mean of its divisors is an integer number (7792200).

Almost surely, 2488718648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488718648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748051200).

488718648 is an abundant number, since it is smaller than the sum of its proper divisors (1007383752).

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

488718648 is a wasteful number, since it uses less digits than its factorization.

488718648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 488718648 is about 22106.9818835589. The cubic root of 488718648 is about 787.6857164408.

The spelling of 488718648 in words is "four hundred eighty-eight million, seven hundred eighteen thousand, six hundred forty-eight".