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5168448 = 2634997
BaseRepresentation
bin10011101101110101000000
3100201120210000
4103231311000
52310342243
6302440000
761634235
oct23556500
910646700
105168448
112a1014a
121893000
1310bc66c
1498778c
156c15d3
hex4edd40

5168448 has 70 divisors (see below), whose sum is σ = 15336266. Its totient is φ = 1721088.

The previous prime is 5168441. The next prime is 5168477. The reversal of 5168448 is 8448615.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 186624 = 2232^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4686 + ... + 5682.

Almost surely, 25168448 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 5168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668133).

5168448 is an abundant number, since it is smaller than the sum of its proper divisors (10167818).

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

5168448 is an equidigital number, since it uses as much as digits as its factorization.

5168448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5168448 is about 2273.4220901540. The cubic root of 5168448 is about 172.8967051295.

The spelling of 5168448 in words is "five million, one hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 997 1296 1728 1994 2592 2991 3988 5184 5982 7976 8973 11964 15952 17946 23928 26919 31904 35892 47856 53838 63808 71784 80757 95712 107676 143568 161514 191424 215352 287136 323028 430704 574272 646056 861408 1292112 1722816 2584224 5168448