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83828061 = 3331100153
BaseRepresentation
bin1001111111100…
…01110101011101
312211201220111000
410333301311131
5132424444221
612152420513
72035345452
oct477616535
9184656430
1083828061
1143356299
12240a7739
13144a0905
14b1c1829
15755ce26
hex4ff1d5d

83828061 has 16 divisors (see below), whose sum is σ = 128197120. Its totient is φ = 54082080.

The previous prime is 83828053. The next prime is 83828083. The reversal of 83828061 is 16082838.

83828061 = T1398 + T1399 + ... + T1478.

It is not a de Polignac number, because 83828061 - 23 = 83828053 is a prime.

It is a super-2 number, since 2×838280612 = 14054287622039442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83828161) 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, 49240 + ... + 50913.

It is an arithmetic number, because the mean of its divisors is an integer number (8012320).

Almost surely, 283828061 is an apocalyptic number.

It is an amenable number.

83828061 is a deficient number, since it is larger than the sum of its proper divisors (44369059).

83828061 is a wasteful number, since it uses less digits than its factorization.

83828061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100193 (or 100187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83828061 is about 9155.7665435506. The cubic root of 83828061 is about 437.6528963287.

The spelling of 83828061 in words is "eighty-three million, eight hundred twenty-eight thousand, sixty-one".

Divisors: 1 3 9 27 31 93 279 837 100153 300459 901377 2704131 3104743 9314229 27942687 83828061