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283780896 = 25371732441
BaseRepresentation
bin10000111010100…
…010011100100000
3201202222120012120
4100322202130200
51040121442041
644054224240
710014045360
oct2072423440
9652876176
10283780896
11136206873
127b055080
1346a3c5b9
14299909a0
1519da8366
hex10ea2720

283780896 has 96 divisors (see below), whose sum is σ = 856614528. Its totient is φ = 80578560.

The previous prime is 283780879. The next prime is 283780897. The reversal of 283780896 is 698087382.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (283780897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115036 + ... + 117476.

It is an arithmetic number, because the mean of its divisors is an integer number (8923068).

Almost surely, 2283780896 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 283780896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428307264).

283780896 is an abundant number, since it is smaller than the sum of its proper divisors (572833632).

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

283780896 is a wasteful number, since it uses less digits than its factorization.

283780896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 283780896 is about 16845.7975768439. The cubic root of 283780896 is about 657.1447639876.

The spelling of 283780896 in words is "two hundred eighty-three million, seven hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2441 2768 3633 4152 4844 4882 5536 7266 7323 8304 9688 9764 14532 14646 16608 17087 19376 19528 29064 29292 34174 38752 39056 51261 58128 58584 68348 78112 102522 116256 117168 136696 205044 234336 273392 410088 422293 546784 820176 844586 1266879 1640352 1689172 2533758 2956051 3378344 5067516 5912102 6756688 8868153 10135032 11824204 13513376 17736306 20270064 23648408 35472612 40540128 47296816 70945224 94593632 141890448 283780896