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2754048 = 29311163
BaseRepresentation
bin1010100000011000000000
312011220211210
422200120000
51201112143
6135010120
732260203
oct12403000
95156753
102754048
111611180
12b09940
1375571b
1451993a
15396033
hex2a0600

2754048 has 80 divisors (see below), whose sum is σ = 8053056. Its totient is φ = 829440.

The previous prime is 2754047. The next prime is 2754049. The reversal of 2754048 is 8404572.

It is an interprime number because it is at equal distance from previous prime (2754047) and next prime (2754049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16815 + ... + 16977.

22754048 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 2754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026528).

2754048 is an abundant number, since it is smaller than the sum of its proper divisors (5299008).

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

2754048 is a wasteful number, since it uses less digits than its factorization.

2754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2754048 is about 1659.5324642802. The cubic root of 2754048 is about 140.1706761952.

The spelling of 2754048 in words is "two million, seven hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 163 176 192 256 264 326 352 384 489 512 528 652 704 768 978 1056 1304 1408 1536 1793 1956 2112 2608 2816 3586 3912 4224 5216 5379 5632 7172 7824 8448 10432 10758 14344 15648 16896 20864 21516 28688 31296 41728 43032 57376 62592 83456 86064 114752 125184 172128 229504 250368 344256 459008 688512 918016 1377024 2754048