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2008888080 = 243523215823
BaseRepresentation
bin111011110111101…
…0011001100010000
312012000002002101020
41313233103030100
513103233404310
6531201235440
7100532160363
oct16757231420
95160062336
102008888080
11940a68391
12480932b80
13260269a94
14150b300da
15bb56b170
hex77bd3310

2008888080 has 120 divisors (see below), whose sum is σ = 6510499968. Its totient is φ = 512379648.

The previous prime is 2008888043. The next prime is 2008888117. The reversal of 2008888080 is 808888002.

2008888080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2008888043) and next prime (2008888117).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119049 + ... + 134871.

Almost surely, 22008888080 is an apocalyptic number.

2008888080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008888080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255249984).

2008888080 is an abundant number, since it is smaller than the sum of its proper divisors (4501611888).

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

2008888080 is a wasteful number, since it uses less digits than its factorization.

2008888080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 2008888080 is about 44820.6211469676. The cubic root of 2008888080 is about 1261.7846717926.

The spelling of 2008888080 in words is "two billion, eight million, eight hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 529 552 690 920 1058 1104 1380 1587 1840 2116 2645 2760 3174 4232 5290 5520 6348 7935 8464 10580 12696 15823 15870 21160 25392 31646 31740 42320 47469 63292 63480 79115 94938 126584 126960 158230 189876 237345 253168 316460 363929 379752 474690 632920 727858 759504 949380 1091787 1265840 1455716 1819645 1898760 2183574 2911432 3639290 3797520 4367148 5458935 5822864 7278580 8370367 8734296 10917870 14557160 16740734 17468592 21835740 25111101 29114320 33481468 41851835 43671480 50222202 66962936 83703670 87342960 100444404 125555505 133925872 167407340 200888808 251111010 334814680 401777616 502222020 669629360 1004444040 2008888080