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83835040 = 255523969
BaseRepresentation
bin1001111111100…
…11100010100000
312211202021001111
410333303202200
5132430210130
612152513104
72035405012
oct477634240
9184667044
1083835040
1143360563
12240ab794
13144a3b43
14b1c41b2
15756002a
hex4ff38a0

83835040 has 24 divisors (see below), whose sum is σ = 198060660. Its totient is φ = 33533952.

The previous prime is 83835019. The next prime is 83835043. The reversal of 83835040 is 4053838.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 2704 = 9156^2 + 52^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83834993 and 83835011.

It is not an unprimeable number, because it can be changed into a prime (83835043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261825 + ... + 262144.

Almost surely, 283835040 is an apocalyptic number.

83835040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83835040 is an abundant number, since it is smaller than the sum of its proper divisors (114225620).

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

83835040 is a wasteful number, since it uses less digits than its factorization.

83835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523984 (or 523976 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 83835040 is about 9156.1476615441. The cubic root of 83835040 is about 437.6650414058.

Adding to 83835040 its reverse (4053838), we get a palindrome (87888878).

The spelling of 83835040 in words is "eighty-three million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 523969 1047938 2095876 2619845 4191752 5239690 8383504 10479380 16767008 20958760 41917520 83835040