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2906208 = 253210091
BaseRepresentation
bin1011000101100001100000
312110122120100
423011201200
51220444313
6142142400
733462624
oct13054140
95418510
102906208
111705528
12b81a00
137a9a66
14559184
153c6173
hex2c5860

2906208 has 36 divisors (see below), whose sum is σ = 8265348. Its totient is φ = 968640.

The previous prime is 2906207. The next prime is 2906213. The reversal of 2906208 is 8026092.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4758 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (229593).

22906208 is an apocalyptic number.

It is an amenable number.

2906208 is an abundant number, since it is smaller than the sum of its proper divisors (5359140).

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

2906208 is a wasteful number, since it uses less digits than its factorization.

2906208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2906208 is about 1704.7603937211. The cubic root of 2906208 is about 142.7059993840.

The spelling of 2906208 in words is "two million, nine hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10091 20182 30273 40364 60546 80728 90819 121092 161456 181638 242184 322912 363276 484368 726552 968736 1453104 2906208