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4946048 = 27172273
BaseRepresentation
bin10010110111100010000000
3100022021200222
4102313202000
52231233143
6254002212
760016652
oct22674200
910267628
104946048
112879048
1217a6368
131042373
1492a6d2
1567a768
hex4b7880

4946048 has 32 divisors (see below), whose sum is σ = 10437660. Its totient is φ = 2326528.

The previous prime is 4946047. The next prime is 4946057. The reversal of 4946048 is 8406494.

It can be written as a sum of positive squares in 2 ways, for example, as 4293184 + 652864 = 2072^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4945999 and 4946017.

It is not an unprimeable number, because it can be changed into a prime (4946041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1040 + ... + 3312.

Almost surely, 24946048 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 4946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218830).

4946048 is an abundant number, since it is smaller than the sum of its proper divisors (5491612).

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

4946048 is a wasteful number, since it uses less digits than its factorization.

4946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 4946048 is about 2223.9712228354. The cubic root of 4946048 is about 170.3803249709.

The spelling of 4946048 in words is "four million, nine hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2273 4546 9092 18184 36368 38641 72736 77282 145472 154564 290944 309128 618256 1236512 2473024 4946048