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83863840 = 255524149
BaseRepresentation
bin1001111111110…
…10100100100000
312211210201120011
410333322210200
5132432120330
612153254304
72035554664
oct477724440
9184721504
1083863840
1143380165
1224104394
13144b3c98
14b1d08a4
15756882a
hex4ffa920

83863840 has 24 divisors (see below), whose sum is σ = 198128700. Its totient is φ = 33545472.

The previous prime is 83863831. The next prime is 83863841. The reversal of 83863840 is 4836838.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79352464 + 4511376 = 8908^2 + 2124^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 83863793 and 83863802.

It is not an unprimeable number, because it can be changed into a prime (83863841) 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, 261915 + ... + 262234.

Almost surely, 283863840 is an apocalyptic number.

83863840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83863840 is an abundant number, since it is smaller than the sum of its proper divisors (114264860).

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

83863840 is a wasteful number, since it uses less digits than its factorization.

83863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524164 (or 524156 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 83863840 is about 9157.7202403218. The cubic root of 83863840 is about 437.7151529506.

The spelling of 83863840 in words is "eighty-three million, eight hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 524149 1048298 2096596 2620745 4193192 5241490 8386384 10482980 16772768 20965960 41931920 83863840