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100475008 = 27784961
BaseRepresentation
bin1011111110100…
…10000010000000
321000001122210121
411333102002000
5201210200013
613545310024
72330011024
oct577220200
9230048717
10100475008
11517963a7
1229795314
1317a7ba8a
14d4b6384
158c4a58d
hex5fd2080

100475008 has 16 divisors (see below), whose sum is σ = 200165310. Its totient is φ = 50237440.

The previous prime is 100475003. The next prime is 100475041. The reversal of 100475008 is 800574001.

It can be written as a sum of positive squares in only one way, i.e., 93547584 + 6927424 = 9672^2 + 2632^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (100475003) 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 as a sum of consecutive naturals, namely, 392353 + ... + 392608.

Almost surely, 2100475008 is an apocalyptic number.

It is an amenable number.

100475008 is a deficient number, since it is larger than the sum of its proper divisors (99690302).

100475008 is an frugal number, since it uses more digits than its factorization.

100475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784975 (or 784963 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 100475008 is about 10023.7222627126. The cubic root of 100475008 is about 464.8926533722.

The spelling of 100475008 in words is "one hundred million, four hundred seventy-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 784961 1569922 3139844 6279688 12559376 25118752 50237504 100475008