Search a number
-
+
488186928 = 243229116903
BaseRepresentation
bin11101000110010…
…010010000110000
31021000121110120100
4131012102100300
51444433440203
6120235312400
715045343335
oct3506222060
91230543510
10488186928
11230629079
121175ab700
137a1aa208
1448b9c98c
152ccd2ea3
hex1d192430

488186928 has 60 divisors (see below), whose sum is σ = 1413369360. Its totient is φ = 157116288.

The previous prime is 488186903. The next prime is 488186929. The reversal of 488186928 is 829681884.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488186929) 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 11 ways as a sum of consecutive naturals, for example, 54276 + ... + 62627.

It is an arithmetic number, because the mean of its divisors is an integer number (23556156).

Almost surely, 2488186928 is an apocalyptic number.

488186928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

488186928 is an abundant number, since it is smaller than the sum of its proper divisors (925182432).

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

488186928 is a wasteful number, since it uses less digits than its factorization.

488186928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116946 (or 116937 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 488186928 is about 22094.9525457739. The cubic root of 488186928 is about 787.3999485891.

It can be divided in two parts, 4881 and 86928, that added together give a square (91809 = 3032).

The spelling of 488186928 in words is "four hundred eighty-eight million, one hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 116903 233806 350709 467612 701418 935224 1052127 1402836 1870448 2104254 2805672 3390187 4208508 5611344 6780374 8417016 10170561 13560748 16834032 20341122 27121496 30511683 40682244 54242992 61023366 81364488 122046732 162728976 244093464 488186928