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83828082 = 23131074719
BaseRepresentation
bin1001111111100…
…01110101110010
312211201220111210
410333301311302
5132424444312
612152420550
72035345512
oct477616562
9184656453
1083828082
1143356308
12240a7756
13144a0920
14b1c1842
15755ce3c
hex4ff1d72

83828082 has 16 divisors (see below), whose sum is σ = 180552960. Its totient is φ = 25793232.

The previous prime is 83828053. The next prime is 83828083. The reversal of 83828082 is 28082838.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 83828082.

It is not an unprimeable number, because it can be changed into a prime (83828083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537282 + ... + 537437.

It is an arithmetic number, because the mean of its divisors is an integer number (11284560).

Almost surely, 283828082 is an apocalyptic number.

83828082 is an abundant number, since it is smaller than the sum of its proper divisors (96724878).

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

83828082 is a wasteful number, since it uses less digits than its factorization.

83828082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074737.

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 83828082 is about 9155.7676903687. The cubic root of 83828082 is about 437.6529328746.

It can be divided in two parts, 838 and 28082, that added together give a triangular number (28920 = T240).

The spelling of 83828082 in words is "eighty-three million, eight hundred twenty-eight thousand, eighty-two".

Divisors: 1 2 3 6 13 26 39 78 1074719 2149438 3224157 6448314 13971347 27942694 41914041 83828082