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9935104 = 281972
BaseRepresentation
bin100101111001…
…100100000000
3200200202101211
4211321210000
510020410404
6552535504
7150306214
oct45714400
920622354
109935104
115676433
1233b1594
13209b17a
141468944
15d13b04
hex979900

9935104 has 27 divisors (see below), whose sum is σ = 19932577. Its totient is φ = 4942336.

The previous prime is 9935099. The next prime is 9935111. The reversal of 9935104 is 4015399.

The square root of 9935104 is 3152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 200704 = 3120^2 + 448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50334 + ... + 50530.

Almost surely, 29935104 is an apocalyptic number.

9935104 is the 3152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9935104

9935104 is an abundant number, since it is smaller than the sum of its proper divisors (9997473).

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

9935104 is an frugal number, since it uses more digits than its factorization.

9935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The cubic root of 9935104 is about 214.9764098870.

The spelling of 9935104 in words is "nine million, nine hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 788 1576 3152 6304 12608 25216 38809 50432 77618 155236 310472 620944 1241888 2483776 4967552 9935104