Search a number
-
+
83080512 = 263348079
BaseRepresentation
bin1001111001110…
…11010101000000
312210022221001000
410330323111000
5132232034022
612124412000
72026113144
oct474732500
9183287030
1083080512
1142995689
12239a7000
131429b588
14b069224
1574616ac
hex4f3b540

83080512 has 56 divisors (see below), whose sum is σ = 244246400. Its totient is φ = 27692928.

The previous prime is 83080511. The next prime is 83080549. The reversal of 83080512 is 21508038.

It is a happy number.

It is a super-3 number, since 3×830805123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83080511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22312 + ... + 25767.

Almost surely, 283080512 is an apocalyptic number.

It is an amenable number.

83080512 is an abundant number, since it is smaller than the sum of its proper divisors (161165888).

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

83080512 is a wasteful number, since it uses less digits than its factorization.

83080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48100 (or 48084 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 83080512 is about 9114.8511781597. The cubic root of 83080512 is about 436.3480653535.

The spelling of 83080512 in words is "eighty-three million, eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 48079 96158 144237 192316 288474 384632 432711 576948 769264 865422 1153896 1298133 1538528 1730844 2307792 2596266 3077056 3461688 4615584 5192532 6923376 9231168 10385064 13846752 20770128 27693504 41540256 83080512