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2381999088 = 24378538311
BaseRepresentation
bin1000110111111010…
…0110101111110000
320011000011002110110
42031332212233300
514334242432323
61032210301320
7113012441520
oct21576465760
96130132413
102381999088
111012638197
12565887840
132bc655421
141884d5680
15de1bc793
hex8dfa6bf0

2381999088 has 80 divisors (see below), whose sum is σ = 7041660416. Its totient is φ = 679691520.

The previous prime is 2381999083. The next prime is 2381999107. The reversal of 2381999088 is 8809991832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381999083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282453 + ... + 290763.

Almost surely, 22381999088 is an apocalyptic number.

2381999088 is a gapful number since it is divisible by the number (28) 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 2381999088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520830208).

2381999088 is an abundant number, since it is smaller than the sum of its proper divisors (4659661328).

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

2381999088 is a wasteful number, since it uses less digits than its factorization.

2381999088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9176 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The square root of 2381999088 is about 48805.7280244850. The cubic root of 2381999088 is about 1335.5101620175.

The spelling of 2381999088 in words is "two billion, three hundred eighty-one million, nine hundred ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 853 1706 2559 3412 5118 5971 6824 8311 10236 11942 13648 16622 17913 20472 23884 24933 33244 35826 40944 47768 49866 58177 66488 71652 95536 99732 116354 132976 143304 174531 199464 232708 286608 349062 398928 465416 698124 930832 1396248 2792496 7089283 14178566 21267849 28357132 42535698 49624981 56714264 85071396 99249962 113428528 148874943 170142792 198499924 297749886 340285584 396999848 595499772 793999696 1190999544 2381999088