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488646884 = 221121009601
BaseRepresentation
bin11101001000000…
…010100011100100
31021001110211111202
4131020002203210
52000043200014
6120253222032
715052300325
oct3510024344
91231424452
10488646884
11230912700
12117791918
137a30b68b
1448c7c44c
152cd743de
hex1d2028e4

488646884 has 18 divisors (see below), whose sum is σ = 939939462. Its totient is φ = 222112000.

The previous prime is 488646881. The next prime is 488646887.

It is a happy number.

488646884 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (488646881) and next prime (488646887).

It can be written as a sum of positive squares in only one way, i.e., 328624384 + 160022500 = 18128^2 + 12650^2 .

It is not an unprimeable number, because it can be changed into a prime (488646881) 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 5 ways as a sum of consecutive naturals, for example, 504317 + ... + 505284.

It is an arithmetic number, because the mean of its divisors is an integer number (52218859).

Almost surely, 2488646884 is an apocalyptic number.

488646884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

488646884 is a deficient number, since it is larger than the sum of its proper divisors (451292578).

488646884 is a wasteful number, since it uses less digits than its factorization.

488646884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009627 (or 1009614 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 56.

The square root of 488646884 is about 22105.3587168361. The cubic root of 488646884 is about 787.6471596659.

The spelling of 488646884 in words is "four hundred eighty-eight million, six hundred forty-six thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 22 44 121 242 484 1009601 2019202 4038404 11105611 22211222 44422444 122161721 244323442 488646884