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104100048 = 24321355609
BaseRepresentation
bin1100011010001…
…11000011010000
321020212211102100
412031013003100
5203122200143
614155120400
72402556453
oct615070320
9236784370
10104100048
11538419a8
122aa43100
131874aa80
14db7b49a
1592146d3
hex63470d0

104100048 has 60 divisors (see below), whose sum is σ = 313751620. Its totient is φ = 32030208.

The previous prime is 104100023. The next prime is 104100049. The reversal of 104100048 is 840001401.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 84492864 = 4428^2 + 9192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 104100048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104100049) 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, 25933 + ... + 29676.

Almost surely, 2104100048 is an apocalyptic number.

104100048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104100048 is an abundant number, since it is smaller than the sum of its proper divisors (209651572).

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

104100048 is a wasteful number, since it uses less digits than its factorization.

104100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55636 (or 55627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104100048 is about 10202.9431048105. The cubic root of 104100048 is about 470.4176881451.

Adding to 104100048 its reverse (840001401), we get a palindrome (944101449).

The spelling of 104100048 in words is "one hundred four million, one hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 55609 111218 166827 222436 333654 444872 500481 667308 722917 889744 1000962 1334616 1445834 2001924 2168751 2669232 2891668 4003848 4337502 5783336 6506253 8007696 8675004 11566672 13012506 17350008 26025012 34700016 52050024 104100048