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488868884 = 227231611319
BaseRepresentation
bin11101001000111…
…000110000010100
31021001220010000222
4131020320300110
52000122301014
6120302053512
715054213500
oct3510706024
91231803028
10488868884
11230a54479
1211787a298
137a38873a
1448cd9300
152cdba08e
hex1d238c14

488868884 has 72 divisors (see below), whose sum is σ = 1044933120. Its totient is φ = 199281600.

The previous prime is 488868883. The next prime is 488868889.

488868884 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488868883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369977 + ... + 371295.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 2488868884 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 488868884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

488868884 is an abundant number, since it is smaller than the sum of its proper divisors (556064236).

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

488868884 is a wasteful number, since it uses less digits than its factorization.

488868884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1420 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 62.

The square root of 488868884 is about 22110.3795535038. The cubic root of 488868884 is about 787.7664217899.

The spelling of 488868884 in words is "four hundred eighty-eight million, eight hundred sixty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 49 61 62 98 122 124 196 217 244 427 434 854 868 1319 1519 1708 1891 2638 2989 3038 3782 5276 5978 6076 7564 9233 11956 13237 18466 26474 36932 40889 52948 64631 80459 81778 92659 129262 160918 163556 185318 258524 286223 321836 370636 563213 572446 1126426 1144892 2003561 2252852 2494229 3942491 4007122 4988458 7884982 8014244 9976916 15769964 17459603 34919206 69838412 122217221 244434442 488868884