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2381039072 = 253189149181
BaseRepresentation
bin1000110111101011…
…1100010111100000
320010221100022120022
42031322330113200
514334021222242
61032133533012
7113001332606
oct21572742740
96127308508
102381039072
111012041995
125654a4168
132bc3aa479
14188325876
15de07d0d2
hex8debc5e0

2381039072 has 96 divisors (see below), whose sum is σ = 4953312000. Its totient is φ = 1125273600.

The previous prime is 2381039071. The next prime is 2381039081. The reversal of 2381039072 is 2709301832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381039071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13154822 + ... + 13155002.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 22381039072 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 2381039072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

2381039072 is an abundant number, since it is smaller than the sum of its proper divisors (2572272928).

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

2381039072 is a wasteful number, since it uses less digits than its factorization.

2381039072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2381039072 is about 48795.8919582376. The cubic root of 2381039072 is about 1335.3307212260.

The spelling of 2381039072 in words is "two billion, three hundred eighty-one million, thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 89 124 149 178 181 248 298 356 362 496 596 712 724 992 1192 1424 1448 2384 2759 2848 2896 4619 4768 5518 5611 5792 9238 11036 11222 13261 16109 18476 22072 22444 26522 26969 32218 36952 44144 44888 53044 53938 64436 73904 88288 89776 106088 107876 128872 147808 179552 212176 215752 257744 411091 424352 431504 499379 515488 822182 836039 863008 998758 1644364 1672078 1997516 2400241 3288728 3344156 3995032 4800482 6577456 6688312 7990064 9600964 13154912 13376624 15980128 19201928 26753248 38403856 74407471 76807712 148814942 297629884 595259768 1190519536 2381039072