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104444064 = 25321919087
BaseRepresentation
bin1100011100110…
…11000010100000
321021112022022200
412032123002200
5203214202224
614210333200
72405521434
oct616330240
9237468280
10104444064
1153a5740a
122ab8a200
131883b52a
14dc2a9c4
1592815c9
hex639b0a0

104444064 has 72 divisors (see below), whose sum is σ = 312661440. Its totient is φ = 32980608.

The previous prime is 104444023. The next prime is 104444077. The reversal of 104444064 is 460444401.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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, 4072 + ... + 15015.

It is an arithmetic number, because the mean of its divisors is an integer number (4342520).

Almost surely, 2104444064 is an apocalyptic number.

It is an amenable number.

104444064 is an abundant number, since it is smaller than the sum of its proper divisors (208217376).

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

104444064 is a wasteful number, since it uses less digits than its factorization.

104444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19122 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 104444064 is about 10219.7878647260. The cubic root of 104444064 is about 470.9353096543.

Adding to 104444064 its reverse (460444401), we get a palindrome (564888465).

The spelling of 104444064 in words is "one hundred four million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 19087 38174 57261 76348 114522 152696 171783 229044 305392 343566 362653 458088 610784 687132 725306 916176 1087959 1374264 1450612 1832352 2175918 2748528 2901224 3263877 4351836 5497056 5802448 6527754 8703672 11604896 13055508 17407344 26111016 34814688 52222032 104444064