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2084192 = 251131191
BaseRepresentation
bin111111100110101100000
310220212222022
413330311200
51013143232
6112401012
723500235
oct7746540
93825868
102084192
1111a3980
12846168
1357c866
143c378c
152b2812
hex1fcd60

2084192 has 48 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 912000.

The previous prime is 2084179. The next prime is 2084209. The reversal of 2084192 is 2914802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10817 + ... + 11007.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

22084192 is an apocalyptic number.

2084192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

2084192 is an abundant number, since it is smaller than the sum of its proper divisors (2560672).

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

2084192 is a wasteful number, since it uses less digits than its factorization.

2084192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2084192 is about 1443.6730931897. The cubic root of 2084192 is about 127.7357831052.

Adding to 2084192 its reverse (2914802), we get a palindrome (4998994).

The spelling of 2084192 in words is "two million, eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 191 248 341 352 382 496 682 764 992 1364 1528 2101 2728 3056 4202 5456 5921 6112 8404 10912 11842 16808 23684 33616 47368 65131 67232 94736 130262 189472 260524 521048 1042096 2084192