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103828842 = 23213577769
BaseRepresentation
bin1100011000001…
…00110101101010
321020101001101200
412030010311222
5203040010332
614145225030
72400346665
oct614046552
9236331350
10103828842
1153677167
122a932176
13186844b0
14db0a6dc
1591ae17c
hex6304d6a

103828842 has 48 divisors (see below), whose sum is σ = 243002760. Its totient is φ = 31850496.

The previous prime is 103828819. The next prime is 103828853. The reversal of 103828842 is 248828301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95238081 + 8590761 = 9759^2 + 2931^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103828797 and 103828806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134634 + ... + 135402.

Almost surely, 2103828842 is an apocalyptic number.

103828842 is an abundant number, since it is smaller than the sum of its proper divisors (139173918).

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

103828842 is a wasteful number, since it uses less digits than its factorization.

103828842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 103828842 is about 10189.6438603123. The cubic root of 103828842 is about 470.0088152866.

The spelling of 103828842 in words is "one hundred three million, eight hundred twenty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 577 769 1154 1538 1731 2307 3462 4614 5193 6921 7501 9997 10386 13842 15002 19994 22503 29991 45006 59982 67509 89973 135018 179946 443713 887426 1331139 2662278 3993417 5768269 7986834 11536538 17304807 34609614 51914421 103828842