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83085432 = 23312727259
BaseRepresentation
bin1001111001111…
…00100001111000
312210100011210020
410330330201320
5132232213212
612124450440
72026133403
oct474744170
9183304706
1083085432
1142999351
12239a9a20
13142a08a1
14b06ad3a
157462d8c
hex4f3c878

83085432 has 32 divisors (see below), whose sum is σ = 209356800. Its totient is φ = 27476064.

The previous prime is 83085421. The next prime is 83085437. The reversal of 83085432 is 23458038.

It is a junction number, because it is equal to n+sod(n) for n = 83085393 and 83085402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83085437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10582 + ... + 16677.

It is an arithmetic number, because the mean of its divisors is an integer number (6542400).

Almost surely, 283085432 is an apocalyptic number.

It is an amenable number.

83085432 is an abundant number, since it is smaller than the sum of its proper divisors (126271368).

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

83085432 is a wasteful number, since it uses less digits than its factorization.

83085432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27395 (or 27391 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 83085432 is about 9115.1210633760. The cubic root of 83085432 is about 436.3566786454.

The spelling of 83085432 in words is "eighty-three million, eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 27259 54518 81777 109036 163554 218072 327108 654216 3461893 6923786 10385679 13847572 20771358 27695144 41542716 83085432