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2429393328 = 2432113173863
BaseRepresentation
bin1001000011001101…
…1001100110110000
320021022022222010200
42100303121212300
514433411041303
61041022155200
7114126334245
oct22063314660
96238288120
102429393328
11103736918a
12579722b00
132c940a75b
141909115cc
15e34303a3
hex90cd99b0

2429393328 has 120 divisors (see below), whose sum is σ = 6906736512. Its totient is φ = 797067264.

The previous prime is 2429393269. The next prime is 2429393389. The reversal of 2429393328 is 8233939242.

2429393328 is a `hidden beast` number, since 24 + 293 + 9 + 332 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2814625 + ... + 2815487.

Almost surely, 22429393328 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 2429393328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453368256).

2429393328 is an abundant number, since it is smaller than the sum of its proper divisors (4477343184).

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

2429393328 is a wasteful number, since it uses less digits than its factorization.

2429393328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1154 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 2429393328 is about 49288.8763109893. The cubic root of 2429393328 is about 1344.3095322361.

The spelling of 2429393328 in words is "two billion, four hundred twenty-nine million, three hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 173 226 339 346 452 519 678 692 863 904 1017 1038 1356 1384 1557 1726 1808 2034 2076 2589 2712 2768 3114 3452 4068 4152 5178 5424 6228 6904 7767 8136 8304 10356 12456 13808 15534 16272 19549 20712 24912 31068 39098 41424 58647 62136 78196 97519 117294 124272 149299 156392 175941 195038 234588 292557 298598 312784 351882 390076 447897 469176 585114 597196 703764 780152 877671 895794 938352 1170228 1194392 1343691 1407528 1560304 1755342 1791588 2340456 2388784 2687382 2815056 3510684 3583176 4680912 5374764 7021368 7166352 10749528 14042736 16870787 21499056 33741574 50612361 67483148 101224722 134966296 151837083 202449444 269932592 303674166 404898888 607348332 809797776 1214696664 2429393328