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107424648 = 23321492009
BaseRepresentation
bin1100110011100…
…10101110001000
321111010201220200
412121302232020
5210000042043
614354252200
72443044252
oct631625610
9244121820
10107424648
1155702801
122bb87060
13193430a6
14103a4cd2
15966e7d3
hex6672b88

107424648 has 24 divisors (see below), whose sum is σ = 290941950. Its totient is φ = 35808192.

The previous prime is 107424619. The next prime is 107424673. The reversal of 107424648 is 846424701.

107424648 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 4 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88397604 + 19027044 = 9402^2 + 4362^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 745933 + ... + 746076.

Almost surely, 2107424648 is an apocalyptic number.

107424648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107424648 is an abundant number, since it is smaller than the sum of its proper divisors (183517302).

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

107424648 is a wasteful number, since it uses less digits than its factorization.

107424648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492021 (or 1492014 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 107424648 is about 10364.5862435507. The cubic root of 107424648 is about 475.3731479695.

The spelling of 107424648 in words is "one hundred seven million, four hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1492009 2984018 4476027 5968036 8952054 11936072 13428081 17904108 26856162 35808216 53712324 107424648