Search a number
-
+
488716788 = 223722336137
BaseRepresentation
bin11101001000010…
…011100111110100
31021001121101101210
4131020103213310
52000102414123
6120254521420
715053011200
oct3510234764
91231541353
10488716788
1123096017a
12117806270
137a334441
1448c99b00
152cd89e93
hex1d2139f4

488716788 has 72 divisors (see below), whose sum is σ = 1384229952. Its totient is φ = 133558656.

The previous prime is 488716783. The next prime is 488716807. The reversal of 488716788 is 887617884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488716783) 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, 4545 + ... + 31592.

It is an arithmetic number, because the mean of its divisors is an integer number (19225416).

Almost surely, 2488716788 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 488716788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692114976).

488716788 is an abundant number, since it is smaller than the sum of its proper divisors (895513164).

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

488716788 is a wasteful number, since it uses less digits than its factorization.

488716788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36181 (or 36172 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 57.

The square root of 488716788 is about 22106.9398153611. The cubic root of 488716788 is about 787.6847171629.

The spelling of 488716788 in words is "four hundred eighty-eight million, seven hundred sixteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 36137 72274 108411 144548 216822 252959 433644 505918 758877 831151 1011836 1517754 1662302 1770713 2493453 3035508 3324604 3541426 4986906 5312139 5818057 7082852 9973812 10624278 11636114 17454171 21248556 23272228 34908342 40726399 69816684 81452798 122179197 162905596 244358394 488716788