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488398848 = 2133717167
BaseRepresentation
bin11101000111000…
…110000000000000
31021001000020021020
4131013012000000
52000012230343
6120244025440
715050215230
oct3507060000
91231006236
10488398848
11230763313
12117692280
137a252802
1448c15cc0
152cd25b83
hex1d1c6000

488398848 has 224 divisors, whose sum is σ = 1585350144. Its totient is φ = 130547712.

The previous prime is 488398837. The next prime is 488398861. The reversal of 488398848 is 848893884.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×4883988483 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488398791 and 488398800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2924461 + ... + 2924627.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2488398848 is an apocalyptic number.

488398848 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 488398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

488398848 is an abundant number, since it is smaller than the sum of its proper divisors (1096951296).

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

488398848 is a wasteful number, since it uses less digits than its factorization.

488398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 60.

The square root of 488398848 is about 22099.7476908674. The cubic root of 488398848 is about 787.5138678334.

The spelling of 488398848 in words is "four hundred eighty-eight million, three hundred ninety-eight thousand, eight hundred forty-eight".