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9125000 = 235673
BaseRepresentation
bin100010110011…
…110010001000
3122011121010222
4202303302020
54314000000
6523325212
7140363333
oct42636210
918147128
109125000
115172825
123080808
131b76511
1412d761a
15c03a85
hex8b3c88

9125000 has 56 divisors (see below), whose sum is σ = 21679410. Its totient is φ = 3600000.

The previous prime is 9124993. The next prime is 9125009. The reversal of 9125000 is 5219.

It can be written as a sum of positive squares in 7 ways, for example, as 4553956 + 4571044 = 2134^2 + 2138^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9125000.

It is not an unprimeable number, because it can be changed into a prime (9125009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124964 + ... + 125036.

Almost surely, 29125000 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 9125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839705).

9125000 is an abundant number, since it is smaller than the sum of its proper divisors (12554410).

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

9125000 is an frugal number, since it uses more digits than its factorization.

9125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 9125000 is about 3020.7614933986. The cubic root of 9125000 is about 208.9669598191.

The spelling of 9125000 in words is "nine million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 625 730 1000 1250 1460 1825 2500 2920 3125 3650 5000 6250 7300 9125 12500 14600 15625 18250 25000 31250 36500 45625 62500 73000 91250 125000 182500 228125 365000 456250 912500 1140625 1825000 2281250 4562500 9125000