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3055248 = 243272433
BaseRepresentation
bin1011101001111010010000
312202020000100
423221322100
51240231443
6145252400
734653300
oct13517220
95666010
103055248
1117a74a9
121034100
1382c851
14597600
154053d3
hex2e9e90

3055248 has 90 divisors (see below), whose sum is σ = 9969414. Its totient is φ = 870912.

The previous prime is 3055231. The next prime is 3055249. The reversal of 3055248 is 8425503.

3055248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 1016064 = 1428^2 + 1008^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3055249) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6840 + ... + 7272.

Almost surely, 23055248 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 3055248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984707).

3055248 is an abundant number, since it is smaller than the sum of its proper divisors (6914166).

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

3055248 is a wasteful number, since it uses less digits than its factorization.

3055248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3055248 is about 1747.9267719215. The cubic root of 3055248 is about 145.1049260361.

It can be divided in two parts, 30 and 55248, that added together give a triangular number (55278 = T332).

The spelling of 3055248 in words is "three million, fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 433 441 504 588 784 866 882 1008 1176 1299 1732 1764 2352 2598 3031 3464 3528 3897 5196 6062 6928 7056 7794 9093 10392 12124 15588 18186 20784 21217 24248 27279 31176 36372 42434 48496 54558 62352 63651 72744 84868 109116 127302 145488 169736 190953 218232 254604 339472 381906 436464 509208 763812 1018416 1527624 3055248