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4917248 = 21174
BaseRepresentation
bin10010110000100000000000
3100020211012022
4102300200000
52224322443
6253221012
756540000
oct22604000
910224168
104917248
112859446
121791768
13103221b
14920000
15671e68
hex4b0800

4917248 has 60 divisors (see below), whose sum is σ = 11470095. Its totient is φ = 2107392.

The previous prime is 4917217. The next prime is 4917277. The reversal of 4917248 is 8427194.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2458624 + 2458624 = 1568^2 + 1568^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1568.

Its product of digits (16128) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 14.

It is an unprimeable number.

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 4 ways as a sum of consecutive naturals, for example, 702461 + ... + 702467.

Almost surely, 24917248 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 4917248

4917248 is an abundant number, since it is smaller than the sum of its proper divisors (6552847).

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

4917248 is an frugal number, since it uses more digits than its factorization.

4917248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 9 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 4917248 is about 2217.4868658010. The cubic root of 4917248 is about 170.0489824250.

The spelling of 4917248 in words is "four million, nine hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4802 5488 6272 7168 9604 10976 12544 14336 19208 21952 25088 38416 43904 50176 76832 87808 100352 153664 175616 307328 351232 614656 702464 1229312 2458624 4917248