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83049335 = 5177511301
BaseRepresentation
bin1001111001100…
…11101101110111
312210021100021022
410330303231313
5132230034320
612124011355
72025623225
oct474635567
9183240238
1083049335
1142974216
1223990b5b
131428a325
14b05bb15
157457325
hex4f33b77

83049335 has 16 divisors (see below), whose sum is σ = 105743232. Its totient is φ = 62400000.

The previous prime is 83049331. The next prime is 83049367. The reversal of 83049335 is 53394038.

It is not a de Polignac number, because 83049335 - 22 = 83049331 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83049295 and 83049304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83049331) 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, 63185 + ... + 64485.

It is an arithmetic number, because the mean of its divisors is an integer number (6608952).

Almost surely, 283049335 is an apocalyptic number.

83049335 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83049335 is a deficient number, since it is larger than the sum of its proper divisors (22693897).

83049335 is a wasteful number, since it uses less digits than its factorization.

83049335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 83049335 is about 9113.1407867979. The cubic root of 83049335 is about 436.2934768370.

The spelling of 83049335 in words is "eighty-three million, forty-nine thousand, three hundred thirty-five".

Divisors: 1 5 17 85 751 1301 3755 6505 12767 22117 63835 110585 977051 4885255 16609867 83049335