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104456872 = 2313277261
BaseRepresentation
bin1100011100111…
…10001010101000
321021112221220001
412032132022220
5203220104442
614210512344
72405603662
oct616361250
9237487801
10104456872
1153a65aa3
122ab956b4
1318844300
14dc31532
1592852b7
hex639e2a8

104456872 has 24 divisors (see below), whose sum is σ = 212084190. Its totient is φ = 48210240.

The previous prime is 104456867. The next prime is 104456873. The reversal of 104456872 is 278654401.

It can be written as a sum of positive squares in 3 ways, for example, as 66683556 + 37773316 = 8166^2 + 6146^2 .

It is a super-2 number, since 2×1044568722 = 21822476216048768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104456873) by changing a digit.

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, 37279 + ... + 39982.

Almost surely, 2104456872 is an apocalyptic number.

It is an amenable number.

104456872 is an abundant number, since it is smaller than the sum of its proper divisors (107627318).

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

104456872 is a wasteful number, since it uses less digits than its factorization.

104456872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77293 (or 77276 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 104456872 is about 10220.4144730045. The cubic root of 104456872 is about 470.9545591699.

It can be divided in two parts, 104 and 456872, that added together give a 4-th power (456976 = 264).

The spelling of 104456872 in words is "one hundred four million, four hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 77261 154522 309044 618088 1004393 2008786 4017572 8035144 13057109 26114218 52228436 104456872