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83880414 = 2331791373
BaseRepresentation
bin1001111111111…
…10100111011110
312211211120022000
410333332213132
5132433133124
612153503130
72035654212
oct477764736
9184746260
1083880414
1143391662
1224111aa6
13144bb6a7
14b1d6942
15756d6c9
hex4ffe9de

83880414 has 32 divisors (see below), whose sum is σ = 197367840. Its totient is φ = 26315136.

The previous prime is 83880413. The next prime is 83880437. The reversal of 83880414 is 41408838.

It is a super-2 number, since 2×838804142 = 14071847705622792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83880413) 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, 44769 + ... + 46604.

It is an arithmetic number, because the mean of its divisors is an integer number (6167745).

Almost surely, 283880414 is an apocalyptic number.

83880414 is an abundant number, since it is smaller than the sum of its proper divisors (113487426).

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

83880414 is a wasteful number, since it uses less digits than its factorization.

83880414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91401 (or 91395 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 83880414 is about 9158.6251151578. The cubic root of 83880414 is about 437.7439862479.

Subtracting from 83880414 its product of nonzero digits (24576), we obtain a palindrome (83855838).

The spelling of 83880414 in words is "eighty-three million, eight hundred eighty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 91373 182746 274119 548238 822357 1553341 1644714 2467071 3106682 4660023 4934142 9320046 13980069 27960138 41940207 83880414