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104445648 = 2432725317
BaseRepresentation
bin1100011100110…
…11011011010000
321021112101111100
412032123123100
5203214230043
614210344400
72405526156
oct616333320
9237471440
10104445648
1153a5861a
122ab8b100
131883c178
14dc2b3d6
159281cd3
hex639b6d0

104445648 has 30 divisors (see below), whose sum is σ = 292303154. Its totient is φ = 34815168.

The previous prime is 104445647. The next prime is 104445661. The reversal of 104445648 is 846544401.

It is a happy number.

104445648 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 19289664 = 9228^2 + 4392^2 .

It is a super-2 number, since 2×1044456482 = 21817786772279808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104445647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362515 + ... + 362802.

Almost surely, 2104445648 is an apocalyptic number.

104445648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104445648 is an abundant number, since it is smaller than the sum of its proper divisors (187857506).

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

104445648 is a wasteful number, since it uses less digits than its factorization.

104445648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725331 (or 725322 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 104445648 is about 10219.8653611484. The cubic root of 104445648 is about 470.9376903793.

The spelling of 104445648 in words is "one hundred four million, four hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 725317 1450634 2175951 2901268 4351902 5802536 6527853 8703804 11605072 13055706 17407608 26111412 34815216 52222824 104445648