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2292792 = 233831151
BaseRepresentation
bin1000101111110000111000
311022111010020
420233300320
51041332132
6121050440
725326345
oct10576070
94274106
102292792
111326677
12926a20
136237a8
144397cc
1530452c
hex22fc38

2292792 has 32 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 754400.

The previous prime is 2292781. The next prime is 2292793. The reversal of 2292792 is 2972922.

2292792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292793) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1417 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

22292792 is an apocalyptic number.

It is an amenable number.

2292792 is an abundant number, since it is smaller than the sum of its proper divisors (3513288).

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

2292792 is a wasteful number, since it uses less digits than its factorization.

2292792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1239 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 2292792 is about 1514.1968167976. The cubic root of 2292792 is about 131.8625750668.

The spelling of 2292792 in words is "two million, two hundred ninety-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1151 1992 2302 3453 4604 6906 9208 13812 27624 95533 191066 286599 382132 573198 764264 1146396 2292792