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2905248 = 25353571
BaseRepresentation
bin1011000101010010100000
312110121020210
423011102200
51220431443
6142134120
733460053
oct13052240
95417223
102905248
111704835
12b81340
137a94a8
14558a9a
153c5c33
hex2c54a0

2905248 has 48 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 948480.

The previous prime is 2905241. The next prime is 2905267. The reversal of 2905248 is 8425092.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2905241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4803 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

22905248 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 2905248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2905248 is an abundant number, since it is smaller than the sum of its proper divisors (4878528).

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

2905248 is a wasteful number, since it uses less digits than its factorization.

2905248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2905248 is about 1704.4788059697. The cubic root of 2905248 is about 142.6902844218.

The spelling of 2905248 in words is "two million, nine hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 571 636 848 1142 1272 1696 1713 2284 2544 3426 4568 5088 6852 9136 13704 18272 27408 30263 54816 60526 90789 121052 181578 242104 363156 484208 726312 968416 1452624 2905248