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2083792 = 241747163
BaseRepresentation
bin111111100101111010000
310220212102111
413330233100
51013140132
6112355104
723466124
oct7745720
93825374
102083792
1111a3647
12845a94
1357c619
143c3584
152b2647
hex1fcbd0

2083792 has 40 divisors (see below), whose sum is σ = 4392576. Its totient is φ = 953856.

The previous prime is 2083771. The next prime is 2083799. The reversal of 2083792 is 2973802.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12703 + ... + 12865.

22083792 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 2083792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196288).

2083792 is an abundant number, since it is smaller than the sum of its proper divisors (2308784).

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

2083792 is a wasteful number, since it uses less digits than its factorization.

2083792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2083792 is about 1443.5345510240. The cubic root of 2083792 is about 127.7276108603.

The spelling of 2083792 in words is "two million, eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 163 188 272 326 376 652 752 799 1304 1598 2608 2771 3196 5542 6392 7661 11084 12784 15322 22168 30644 44336 61288 122576 130237 260474 520948 1041896 2083792