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83354193 = 3213712429
BaseRepresentation
bin1001111011111…
…10001001010001
312210211211110100
410331332021101
5132314313233
612134323013
72031333066
oct475761121
9183754410
1083354193
114306226a
1223ab9469
1314366010
14b0dac6d
1574b7813
hex4f7e251

83354193 has 12 divisors (see below), whose sum is σ = 129662260. Its totient is φ = 51294816.

The previous prime is 83354147. The next prime is 83354203. The reversal of 83354193 is 39145338.

It can be written as a sum of positive squares in 2 ways, for example, as 30603024 + 52751169 = 5532^2 + 7263^2 .

It is not a de Polignac number, because 83354193 - 29 = 83353681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83354123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356098 + ... + 356331.

Almost surely, 283354193 is an apocalyptic number.

It is an amenable number.

83354193 is a deficient number, since it is larger than the sum of its proper divisors (46308067).

83354193 is a wasteful number, since it uses less digits than its factorization.

83354193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712448 (or 712445 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 83354193 is about 9129.8517512608. The cubic root of 83354193 is about 436.8266745222.

The spelling of 83354193 in words is "eighty-three million, three hundred fifty-four thousand, one hundred ninety-three".

Divisors: 1 3 9 13 39 117 712429 2137287 6411861 9261577 27784731 83354193