Search a number
-
+
2008642488 = 2334313714207
BaseRepresentation
bin111011110111001…
…0111001110111000
312011222121121111020
41313232113032320
513103203024423
6531152102440
7100530115356
oct16756271670
95158547436
102008642488
1194090a916
12480834a20
132601b2068
14150aa87d6
15bb51d4e3
hex77b973b8

2008642488 has 64 divisors (see below), whose sum is σ = 5176258560. Its totient is φ = 649157376.

The previous prime is 2008642483. The next prime is 2008642501. The reversal of 2008642488 is 8842468002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008642483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134281 + ... + 148487.

It is an arithmetic number, because the mean of its divisors is an integer number (80879040).

Almost surely, 22008642488 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 2008642488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588129280).

2008642488 is an abundant number, since it is smaller than the sum of its proper divisors (3167616072).

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

2008642488 is a wasteful number, since it uses less digits than its factorization.

2008642488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14396 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2008642488 is about 44817.8813421607. The cubic root of 2008642488 is about 1261.7332508344.

The spelling of 2008642488 in words is "two billion, eight million, six hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 137 172 258 274 344 411 516 548 822 1032 1096 1644 3288 5891 11782 14207 17673 23564 28414 35346 42621 47128 56828 70692 85242 113656 141384 170484 340968 610901 1221802 1832703 1946359 2443604 3665406 3892718 4887208 5839077 7330812 7785436 11678154 14661624 15570872 23356308 46712616 83693437 167386874 251080311 334773748 502160622 669547496 1004321244 2008642488