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2908296 = 2332311303
BaseRepresentation
bin1011000110000010001000
312110202102200
423012002020
51221031141
6142200200
733501666
oct13060210
95422380
102908296
111707056
12b83060
137aa9b1
14559c36
153c6ab6
hex2c6088

2908296 has 48 divisors (see below), whose sum is σ = 8136960. Its totient is φ = 937440.

The previous prime is 2908291. The next prime is 2908307. The reversal of 2908296 is 6928092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2908296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2908291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1581 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (169520).

22908296 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 2908296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068480).

2908296 is an abundant number, since it is smaller than the sum of its proper divisors (5228664).

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

2908296 is a wasteful number, since it uses less digits than its factorization.

2908296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2908296 is about 1705.3726865410. The cubic root of 2908296 is about 142.7401674816.

The spelling of 2908296 in words is "two million, nine hundred eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1303 2232 2606 3909 5212 7818 10424 11727 15636 23454 31272 40393 46908 80786 93816 121179 161572 242358 323144 363537 484716 727074 969432 1454148 2908296