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3006048 = 253173181
BaseRepresentation
bin1011011101111001100000
312122201112010
423131321200
51232143143
6144232520
734356663
oct13357140
95581463
103006048
111773541
12100b740
13813336
145836da
153e5a33
hex2dde60

3006048 has 48 divisors (see below), whose sum is σ = 7980336. Its totient is φ = 990720.

The previous prime is 3006037. The next prime is 3006119. The reversal of 3006048 is 8406003.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16518 + ... + 16698.

It is an arithmetic number, because the mean of its divisors is an integer number (166257).

Almost surely, 23006048 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 3006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990168).

3006048 is an abundant number, since it is smaller than the sum of its proper divisors (4974288).

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

3006048 is a wasteful number, since it uses less digits than its factorization.

3006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3006048 is about 1733.7958357315. The cubic root of 3006048 is about 144.3218111450.

The spelling of 3006048 in words is "three million, six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 181 346 362 519 543 692 724 1038 1086 1384 1448 2076 2172 2768 2896 4152 4344 5536 5792 8304 8688 16608 17376 31313 62626 93939 125252 187878 250504 375756 501008 751512 1002016 1503024 3006048