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4382077616 = 2471913715031
BaseRepresentation
bin1000001010011000…
…10011001010110000
3102022101122121101222
410011030103022300
532433302440431
62002455044212
7213410021330
oct40514231260
912271577358
104382077616
111949628854
12a23670668
1354ab29447
142d7db10c0
151a9a9857b
hex1053132b0

4382077616 has 80 divisors (see below), whose sum is σ = 10289103360. Its totient is φ = 1766085120.

The previous prime is 4382077591. The next prime is 4382077619. The reversal of 4382077616 is 6167702834.

It is not an unprimeable number, because it can be changed into a prime (4382077619) 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, 284021 + ... + 299051.

It is an arithmetic number, because the mean of its divisors is an integer number (128613792).

Almost surely, 24382077616 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 4382077616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144551680).

4382077616 is an abundant number, since it is smaller than the sum of its proper divisors (5907025744).

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

4382077616 is a wasteful number, since it uses less digits than its factorization.

4382077616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15202 (or 15196 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 4382077616 is about 66197.2629041413. The cubic root of 4382077616 is about 1636.4146361673.

The spelling of 4382077616 in words is "four billion, three hundred eighty-two million, seventy-seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 137 152 266 274 304 532 548 959 1064 1096 1918 2128 2192 2603 3836 5206 7672 10412 15031 15344 18221 20824 30062 36442 41648 60124 72884 105217 120248 145768 210434 240496 285589 291536 420868 571178 841736 1142356 1683472 1999123 2059247 2284712 3998246 4118494 4569424 7996492 8236988 14414729 15992984 16473976 28829458 31985968 32947952 39125693 57658916 78251386 115317832 156502772 230635664 273879851 313005544 547759702 626011088 1095519404 2191038808 4382077616