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2250792 = 233243727
BaseRepresentation
bin1000100101100000101000
311020100111200
420211200220
51034011132
6120124200
725063035
oct10454050
94210450
102250792
1112a8065
12906660
1360a63b
1442838c
152e6d7c
hex225828

2250792 has 48 divisors (see below), whose sum is σ = 6246240. Its totient is φ = 731808.

The previous prime is 2250779. The next prime is 2250793. The reversal of 2250792 is 2970522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2250793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2733 + ... + 3459.

It is an arithmetic number, because the mean of its divisors is an integer number (130130).

22250792 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 2250792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123120).

2250792 is an abundant number, since it is smaller than the sum of its proper divisors (3995448).

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

2250792 is a wasteful number, since it uses less digits than its factorization.

2250792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2250792 is about 1500.2639767721. The cubic root of 2250792 is about 131.0524429230.

The spelling of 2250792 in words is "two million, two hundred fifty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 727 774 1032 1454 1548 2181 2908 3096 4362 5816 6543 8724 13086 17448 26172 31261 52344 62522 93783 125044 187566 250088 281349 375132 562698 750264 1125396 2250792