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83348512 = 2513200357
BaseRepresentation
bin1001111011111…
…00110000100000
312210211112122221
410331330300200
5132314123022
612134240424
72031310402
oct475746040
9183745587
1083348512
1143058a75
1223ab6114
1314363560
14b0d8b72
1574b5cc7
hex4f7cc20

83348512 has 24 divisors (see below), whose sum is σ = 176715756. Its totient is φ = 38468352.

The previous prime is 83348477. The next prime is 83348521. The reversal of 83348512 is 21584338.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58308496 + 25040016 = 7636^2 + 5004^2 .

It is a super-2 number, since 2×833485122 = 13893948905228288, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 99763 + ... + 100594.

Almost surely, 283348512 is an apocalyptic number.

It is an amenable number.

83348512 is an abundant number, since it is smaller than the sum of its proper divisors (93367244).

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

83348512 is a wasteful number, since it uses less digits than its factorization.

83348512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200380 (or 200372 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 83348512 is about 9129.5406237116. The cubic root of 83348512 is about 436.8167503315.

The spelling of 83348512 in words is "eighty-three million, three hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 200357 400714 801428 1602856 2604641 3205712 5209282 6411424 10418564 20837128 41674256 83348512