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488821664 = 25197910177
BaseRepresentation
bin11101001000101…
…101001110100000
31021001210201021002
4131020231032200
52000114243124
6120301051132
715053626022
oct3510551640
91231721232
10488821664
11230a21a51
12117856aa8
137a3700b6
1448cc6012
152cdab0ae
hex1d22d3a0

488821664 has 48 divisors (see below), whose sum is σ = 1025942400. Its totient is φ = 228593664.

The previous prime is 488821649. The next prime is 488821769. The reversal of 488821664 is 466128884.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42944 + ... + 53120.

It is an arithmetic number, because the mean of its divisors is an integer number (21373800).

Almost surely, 2488821664 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 488821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512971200).

488821664 is an abundant number, since it is smaller than the sum of its proper divisors (537120736).

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

488821664 is a wasteful number, since it uses less digits than its factorization.

488821664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285 (or 10277 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 488821664 is about 22109.3117034430. The cubic root of 488821664 is about 787.7410574374.

The spelling of 488821664 in words is "four hundred eighty-eight million, eight hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 79 152 158 304 316 608 632 1264 1501 2528 3002 6004 10177 12008 20354 24016 40708 48032 81416 162832 193363 325664 386726 773452 803983 1546904 1607966 3093808 3215932 6187616 6431864 12863728 15275677 25727456 30551354 61102708 122205416 244410832 488821664