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4829248 = 26611237
BaseRepresentation
bin10010011011000001000000
3100002100111001
4102123001000
52214013443
6251301344
756022304
oct22330100
910070431
104829248
1127a9316
12174a854
131001158
148d9d04
15655d4d
hex49b040

4829248 has 28 divisors (see below), whose sum is σ = 9748012. Its totient is φ = 2373120.

The previous prime is 4829219. The next prime is 4829257. The reversal of 4829248 is 8429284.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 3211264 = 1272^2 + 1792^2 .

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, 3286 + ... + 4522.

Almost surely, 24829248 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 4829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874006).

4829248 is an abundant number, since it is smaller than the sum of its proper divisors (4918764).

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

4829248 is a wasteful number, since it uses less digits than its factorization.

4829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 4829248 is about 2197.5550049999. Note that the first 3 decimals coincide. The cubic root of 4829248 is about 169.0284605967.

It can be divided in two parts, 482 and 9248, that added together give a triangular number (9730 = T139).

The spelling of 4829248 in words is "four million, eight hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1237 1952 2474 3904 4948 9896 19792 39584 75457 79168 150914 301828 603656 1207312 2414624 4829248