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2309769728 = 2972971313
BaseRepresentation
bin1000100110101100…
…0100101000000000
312221222020110101222
42021223010220000
514212300112403
61021110214212
7111144501350
oct21153045000
95858213358
102309769728
11a85894202
12545654368
132aa6b5c66
1417ca92b60
15d7ba1338
hex89ac4a00

2309769728 has 160 divisors (see below), whose sum is σ = 5550716160. Its totient is φ = 939294720.

The previous prime is 2309769691. The next prime is 2309769773. The reversal of 2309769728 is 8279679032.

It is a self number, because there is not a number n which added to its sum of digits gives 2309769728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7379300 + ... + 7379612.

It is an arithmetic number, because the mean of its divisors is an integer number (34691976).

Almost surely, 22309769728 is an apocalyptic number.

2309769728 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 2309769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775358080).

2309769728 is an abundant number, since it is smaller than the sum of its proper divisors (3240946432).

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

2309769728 is an equidigital number, since it uses as much as digits as its factorization.

2309769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The square root of 2309769728 is about 48060.0637535990. The cubic root of 2309769728 is about 1321.8724818124.

The spelling of 2309769728 in words is "two billion, three hundred nine million, seven hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 71 112 116 128 142 203 224 232 256 284 313 406 448 464 497 512 568 626 812 896 928 994 1136 1252 1624 1792 1856 1988 2059 2191 2272 2504 3248 3584 3712 3976 4118 4382 4544 5008 6496 7424 7952 8236 8764 9077 9088 10016 12992 14413 14848 15904 16472 17528 18154 18176 20032 22223 25984 28826 31808 32944 35056 36308 36352 40064 44446 51968 57652 63539 63616 65888 70112 72616 80128 88892 103936 115304 127078 127232 131776 140224 145232 155561 160256 177784 230608 254156 254464 263552 280448 290464 311122 355568 461216 508312 527104 560896 580928 622244 644467 711136 922432 1016624 1054208 1121792 1161856 1244488 1288934 1422272 1844864 2033248 2323712 2488976 2577868 2844544 3689728 4066496 4511269 4647424 4977952 5155736 5689088 7379456 8132992 9022538 9955904 10311472 11378176 16265984 18045076 19911808 20622944 32531968 36090152 39823616 41245888 72180304 79647232 82491776 144360608 164983552 288721216 329967104 577442432 1154884864 2309769728