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2966048 = 25591571
BaseRepresentation
bin1011010100001000100000
312120200122122
423110020200
51224403143
6143323412
734132241
oct13241040
95520578
102966048
111746488
12bb0568
137cb077
14572cc8
153d8c68
hex2d4220

2966048 has 24 divisors (see below), whose sum is σ = 5942160. Its totient is φ = 1456960.

The previous prime is 2966017. The next prime is 2966059. The reversal of 2966048 is 8406692.

It is a junction number, because it is equal to n+sod(n) for n = 2965999 and 2966017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (247590).

22966048 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 2966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971080).

2966048 is an abundant number, since it is smaller than the sum of its proper divisors (2976112).

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

2966048 is a wasteful number, since it uses less digits than its factorization.

2966048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2966048 is about 1722.2218207885. The cubic root of 2966048 is about 143.6788108757.

The spelling of 2966048 in words is "two million, nine hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1571 1888 3142 6284 12568 25136 50272 92689 185378 370756 741512 1483024 2966048