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4083077376 = 2833784389
BaseRepresentation
bin1111001101011110…
…1101000100000000
3101112120000211012000
43303113231010000
531330231434001
61513054304000
7203116404450
oct36327550400
911476024160
104083077376
111805877514
1295b4b8000
13500bbb721
142aa3bbd60
1518d6d5a86
hexf35ed100

4083077376 has 144 divisors (see below), whose sum is σ = 13799452800. Its totient is φ = 1166579712.

The previous prime is 4083077353. The next prime is 4083077377. The reversal of 4083077376 is 6737703804.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4083077377) 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, 6190 + ... + 90578.

Almost surely, 24083077376 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 4083077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899726400).

4083077376 is an abundant number, since it is smaller than the sum of its proper divisors (9716375424).

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

4083077376 is an equidigital number, since it uses as much as digits as its factorization.

4083077376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84421 (or 84401 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 4083077376 is about 63898.9622450944. The cubic root of 4083077376 is about 1598.3155940243.

The spelling of 4083077376 in words is "four billion, eighty-three million, seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 84389 168778 253167 337556 506334 590723 675112 759501 1012668 1181446 1350224 1519002 1772169 2025336 2278503 2362892 2700448 3038004 3544338 4050672 4557006 4725784 5316507 5400896 6076008 7088676 8101344 9114012 9451568 10633014 10801792 12152016 14177352 15949521 16202688 18228024 18903136 21266028 21603584 24304032 28354704 31899042 32405376 36456048 37806272 42532056 48608064 56709408 63798084 64810752 72912096 75612544 85064112 97216128 113418816 127596168 145824192 151225088 170128224 194432256 226837632 255192336 291648384 340256448 453675264 510384672 583296768 680512896 1020769344 1361025792 2041538688 4083077376