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2942192 = 241173229
BaseRepresentation
bin1011001110010011110000
312112110221002
423032103300
51223122232
6143021132
734002551
oct13162360
95473832
102942192
11172a570
12b9a7a8
137c0256
14568328
153d1b62
hex2ce4f0

2942192 has 40 divisors (see below), whose sum is σ = 6331440. Its totient is φ = 1313280.

The previous prime is 2942161. The next prime is 2942221. The reversal of 2942192 is 2912492.

2942192 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 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 7 ways as a sum of consecutive naturals, for example, 12734 + ... + 12962.

It is an arithmetic number, because the mean of its divisors is an integer number (158286).

22942192 is an apocalyptic number.

2942192 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 2942192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165720).

2942192 is an abundant number, since it is smaller than the sum of its proper divisors (3389248).

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

2942192 is a wasteful number, since it uses less digits than its factorization.

2942192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 2942192 is about 1715.2819010297. The cubic root of 2942192 is about 143.2925693825.

The spelling of 2942192 in words is "two million, nine hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 229 292 458 584 803 916 1168 1606 1832 2519 3212 3664 5038 6424 10076 12848 16717 20152 33434 40304 66868 133736 183887 267472 367774 735548 1471096 2942192