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83393409 = 31113211913
BaseRepresentation
bin1001111100001…
…11101110000001
312210220211020210
410332013232001
5132322042114
612135224333
72031555321
oct476075601
9183824223
1083393409
1143089780
1223b180a9
131437ab18
14b10b281
1574c4259
hex4f87b81

83393409 has 16 divisors (see below), whose sum is σ = 121454784. Its totient is φ = 50476800.

The previous prime is 83393389. The next prime is 83393411. The reversal of 83393409 is 90439338.

It is not a de Polignac number, because 83393409 - 27 = 83393281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83393419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42637 + ... + 44549.

It is an arithmetic number, because the mean of its divisors is an integer number (7590924).

Almost surely, 283393409 is an apocalyptic number.

It is an amenable number.

83393409 is a deficient number, since it is larger than the sum of its proper divisors (38061375).

83393409 is a wasteful number, since it uses less digits than its factorization.

83393409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248.

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 83393409 is about 9131.9991787122. Note that the first 3 decimals coincide. The cubic root of 83393409 is about 436.8951690132.

The spelling of 83393409 in words is "eighty-three million, three hundred ninety-three thousand, four hundred nine".

Divisors: 1 3 11 33 1321 1913 3963 5739 14531 21043 43593 63129 2527073 7581219 27797803 83393409