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9992250 = 232534441
BaseRepresentation
bin100110000111…
…100000111010
3200210122210100
4212013200322
510024223000
6554100230
7150634632
oct46074072
920718710
109992250
115705364
12341a676
1320bb198
1414816c2
15d25a00
hex98783a

9992250 has 48 divisors (see below), whose sum is σ = 27025128. Its totient is φ = 2664000.

The previous prime is 9992237. The next prime is 9992263. The reversal of 9992250 is 522999.

It is an interprime number because it is at equal distance from previous prime (9992237) and next prime (9992263).

It can be written as a sum of positive squares in 4 ways, for example, as 2424249 + 7568001 = 1557^2 + 2751^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 30 + ... + 4470.

Almost surely, 29992250 is an apocalyptic number.

9992250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512564).

9992250 is an abundant number, since it is smaller than the sum of its proper divisors (17032878).

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

9992250 is a wasteful number, since it uses less digits than its factorization.

9992250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9992250 is about 3161.0520400651. The cubic root of 9992250 is about 215.3877983896.

It can be divided in two parts, 999 and 2250, that added together give a square (3249 = 572).

The spelling of 9992250 in words is "nine million, nine hundred ninety-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250 4441 8882 13323 22205 26646 39969 44410 66615 79938 111025 133230 199845 222050 333075 399690 555125 666150 999225 1110250 1665375 1998450 3330750 4996125 9992250