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2942592 = 2737997
BaseRepresentation
bin1011001110011010000000
312112111110220
423032122000
51223130332
6143023040
734003662
oct13163200
95474426
102942592
11172a8a4
12b9aa80
137c04a3
14568532
153d1d2c
hex2ce680

2942592 has 64 divisors (see below), whose sum is σ = 7996800. Its totient is φ = 958464.

The previous prime is 2942561. The next prime is 2942609. The reversal of 2942592 is 2952492.

It is a tau number, because it is divible by the number of its divisors (64).

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, 30288 + ... + 30384.

It is an arithmetic number, because the mean of its divisors is an integer number (124950).

22942592 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 2942592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998400).

2942592 is an abundant number, since it is smaller than the sum of its proper divisors (5054208).

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

2942592 is an equidigital number, since it uses as much as digits as its factorization.

2942592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2942592 is about 1715.3984959770. The cubic root of 2942592 is about 143.2990627760.

The spelling of 2942592 in words is "two million, nine hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 97 128 158 192 194 237 291 316 384 388 474 582 632 776 948 1164 1264 1552 1896 2328 2528 3104 3792 4656 5056 6208 7584 7663 9312 10112 12416 15168 15326 18624 22989 30336 30652 37248 45978 61304 91956 122608 183912 245216 367824 490432 735648 980864 1471296 2942592