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2983524096 = 28371929209
BaseRepresentation
bin1011000111010100…
…1111011100000000
321200221000201122110
42301311033130000
522102240232341
61212015135320
7133635351660
oct26165173400
97627021573
102983524096
1112a11378a3
126b3214540
13387166197
142043581a0
15126ddc216
hexb1d4f700

2983524096 has 144 divisors (see below), whose sum is σ = 9552838400. Its totient is φ = 807542784.

The previous prime is 2983524079. The next prime is 2983524107. The reversal of 2983524096 is 6904253892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 87540 + ... + 116748.

Almost surely, 22983524096 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 2983524096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776419200).

2983524096 is an abundant number, since it is smaller than the sum of its proper divisors (6569314304).

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

2983524096 is a wasteful number, since it uses less digits than its factorization.

2983524096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29254 (or 29240 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 2983524096 is about 54621.6449404446. The cubic root of 2983524096 is about 1439.6044592636.

The spelling of 2983524096 in words is "two billion, nine hundred eighty-three million, five hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 29209 34048 51072 58418 87627 102144 116836 175254 204463 233672 350508 408926 467344 554971 613389 701016 817852 934688 1109942 1226778 1402032 1635704 1664913 1869376 2219884 2453556 2804064 3271408 3329826 3738752 3884797 4439768 4907112 5608128 6542816 6659652 7477504 7769594 8879536 9814224 11216256 11654391 13085632 13319304 15539188 17759072 19628448 22432512 23308782 26171264 26638608 31078376 35518144 39256896 46617564 52342528 53277216 62156752 71036288 78513792 93235128 106554432 124313504 142072576 157027584 186470256 213108864 248627008 372940512 426217728 497254016 745881024 994508032 1491762048 2983524096