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83885280 = 2535174761
BaseRepresentation
bin1001111111111…
…11110011100000
312211211210222020
410333333303200
5132433312110
612153541440
72036004333
oct477776340
9184753866
1083885280
1143395286
1224114880
13144c097b
14b1d861a
15756ed70
hex4fffce0

83885280 has 48 divisors (see below), whose sum is σ = 264240144. Its totient is φ = 22369280.

The previous prime is 83885279. The next prime is 83885297. The reversal of 83885280 is 8258838.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86901 + ... + 87860.

It is an arithmetic number, because the mean of its divisors is an integer number (5505003).

Almost surely, 283885280 is an apocalyptic number.

83885280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83885280 is an abundant number, since it is smaller than the sum of its proper divisors (180354864).

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

83885280 is a wasteful number, since it uses less digits than its factorization.

83885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174779 (or 174771 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 83885280 is about 9158.8907625323. The cubic root of 83885280 is about 437.7524507628.

The spelling of 83885280 in words is "eighty-three million, eight hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 174761 349522 524283 699044 873805 1048566 1398088 1747610 2097132 2621415 2796176 3495220 4194264 5242830 5592352 6990440 8388528 10485660 13980880 16777056 20971320 27961760 41942640 83885280