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104141648 = 2413312521
BaseRepresentation
bin1100011010100…
…01001101010000
321020221221111002
412031101031100
5203130013043
614200041132
72403121652
oct615211520
9236857432
10104141648
1153870186
122aa631a8
13187639a0
14db8c6d2
159221bb8
hex6351350

104141648 has 60 divisors (see below), whose sum is σ = 224962164. Its totient is φ = 46425600.

The previous prime is 104141647. The next prime is 104141683. The reversal of 104141648 is 846141401.

It can be written as a sum of positive squares in 2 ways, for example, as 22202944 + 81938704 = 4712^2 + 9052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104141648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104141647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199628 + ... + 200148.

Almost surely, 2104141648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104141648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112481082).

104141648 is an abundant number, since it is smaller than the sum of its proper divisors (120820516).

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

104141648 is a wasteful number, since it uses less digits than its factorization.

104141648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 104141648 is about 10204.9815286457. The cubic root of 104141648 is about 470.4803418775.

The spelling of 104141648 in words is "one hundred four million, one hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 521 806 961 1042 1612 1922 2084 3224 3844 4168 6448 6773 7688 8336 12493 13546 15376 16151 24986 27092 32302 49972 54184 64604 99944 108368 129208 199888 209963 258416 419926 500681 839852 1001362 1679704 2002724 3359408 4005448 6508853 8010896 13017706 26035412 52070824 104141648