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83868880 = 2451048361
BaseRepresentation
bin1001111111110…
…11110011010000
312211210222110211
410333323303100
5132432301010
612153333504
72035605454
oct477736320
9184728424
1083868880
1143383a27
1224107294
13144b6374
14b1d2664
15756a08a
hex4ffbcd0

83868880 has 20 divisors (see below), whose sum is σ = 194995332. Its totient is φ = 33547520.

The previous prime is 83868823. The next prime is 83868887. The reversal of 83868880 is 8886838.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60093504 + 23775376 = 7752^2 + 4876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83868887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 524101 + ... + 524260.

Almost surely, 283868880 is an apocalyptic number.

83868880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83868880 is an abundant number, since it is smaller than the sum of its proper divisors (111126452).

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

83868880 is a wasteful number, since it uses less digits than its factorization.

83868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048374 (or 1048368 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 83868880 is about 9157.9954138447. The cubic root of 83868880 is about 437.7239212914.

It can be divided in two parts, 83868 and 880, that added together give a palindrome (84748).

The spelling of 83868880 in words is "eighty-three million, eight hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1048361 2096722 4193444 5241805 8386888 10483610 16773776 20967220 41934440 83868880