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3055008 = 253112263
BaseRepresentation
bin1011101001110110100000
312202012200110
423221312200
51240230013
6145251320
734652505
oct13516640
95665613
103055008
1117a7300
121033b40
1382c6c8
145974ac
154052c3
hex2e9da0

3055008 has 72 divisors (see below), whose sum is σ = 8848224. Its totient is φ = 922240.

The previous prime is 3054971. The next prime is 3055043. The reversal of 3055008 is 8005503.

3055008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 11485 + ... + 11747.

It is an arithmetic number, because the mean of its divisors is an integer number (122892).

Almost surely, 23055008 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 3055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424112).

3055008 is an abundant number, since it is smaller than the sum of its proper divisors (5793216).

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

3055008 is a wasteful number, since it uses less digits than its factorization.

3055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3055008 is about 1747.8581178116. The cubic root of 3055008 is about 145.1011264433.

The spelling of 3055008 in words is "three million, fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 263 264 352 363 484 526 528 726 789 968 1052 1056 1452 1578 1936 2104 2893 2904 3156 3872 4208 5786 5808 6312 8416 8679 11572 11616 12624 17358 23144 25248 31823 34716 46288 63646 69432 92576 95469 127292 138864 190938 254584 277728 381876 509168 763752 1018336 1527504 3055008