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104387424 = 2531377937
BaseRepresentation
bin1100011100011…
…01001101100000
321021102102121220
412032031031200
5203210344144
614205215040
72405164341
oct616151540
9237372556
10104387424
1153a188a9
122ab61480
131881b80b
14dc140c8
15926e919
hex638d360

104387424 has 48 divisors (see below), whose sum is σ = 276051888. Its totient is φ = 34537472.

The previous prime is 104387419. The next prime is 104387431. The reversal of 104387424 is 424783401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9184 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (5751081).

Almost surely, 2104387424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104387424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138025944).

104387424 is an abundant number, since it is smaller than the sum of its proper divisors (171664464).

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

104387424 is a wasteful number, since it uses less digits than its factorization.

104387424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 104387424 is about 10217.0163942317. The cubic root of 104387424 is about 470.8501648789.

The spelling of 104387424 in words is "one hundred four million, three hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 7937 13152 15874 23811 31748 47622 63496 95244 126992 190488 253984 380976 761952 1087369 2174738 3262107 4349476 6524214 8698952 13048428 17397904 26096856 34795808 52193712 104387424