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9148104 = 2332722593
BaseRepresentation
bin100010111001…
…011011001000
3122012202211200
4202321123020
54320214404
6524024200
7140520600
oct42713310
918182750
109148104
115189119
123092060
131b83ba4
141301c00
15c0a839
hex8b96c8

9148104 has 72 divisors (see below), whose sum is σ = 28832310. Its totient is φ = 2612736.

The previous prime is 9148099. The next prime is 9148133. The reversal of 9148104 is 4018419.

It can be written as a sum of positive squares in only one way, i.e., 7452900 + 1695204 = 2730^2 + 1302^2 .

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 17 ways as a sum of consecutive naturals, for example, 2232 + ... + 4824.

Almost surely, 29148104 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 9148104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416155).

9148104 is an abundant number, since it is smaller than the sum of its proper divisors (19684206).

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

9148104 is a wasteful number, since it uses less digits than its factorization.

9148104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9148104 is about 3024.5832770813. The cubic root of 9148104 is about 209.1431754772.

The spelling of 9148104 in words is "nine million, one hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2593 3528 5186 7779 10372 15558 18151 20744 23337 31116 36302 46674 54453 62232 72604 93348 108906 127057 145208 163359 186696 217812 254114 326718 381171 435624 508228 653436 762342 1016456 1143513 1306872 1524684 2287026 3049368 4574052 9148104