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16797248 = 261321553
BaseRepresentation
bin100000000010…
…0111001000000
31011121101111022
41000010321000
513300002443
61400005012
7262526366
oct100047100
934541438
1016797248
119533026
125760768
133631700
142333636
15171be68
hex1004e40

16797248 has 42 divisors (see below), whose sum is σ = 36116514. Its totient is φ = 7747584.

The previous prime is 16797239. The next prime is 16797259. The reversal of 16797248 is 84279761.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 15936064 = 928^2 + 3992^2 .

Its product of digits (169344) is a multiple of the sum of its prime divisors (1568).

It is a junction number, because it is equal to n+sod(n) for n = 16797199 and 16797208.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10040 + ... + 11592.

It is an arithmetic number, because the mean of its divisors is an integer number (859917).

Almost surely, 216797248 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 16797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058257).

16797248 is an abundant number, since it is smaller than the sum of its proper divisors (19319266).

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

16797248 is a wasteful number, since it uses less digits than its factorization.

16797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1568 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 16797248 is about 4098.4445830095. Note that the first 3 decimals coincide. The cubic root of 16797248 is about 256.1018474963.

The spelling of 16797248 in words is "sixteen million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 1553 2704 3106 5408 6212 10816 12424 20189 24848 40378 49696 80756 99392 161512 262457 323024 524914 646048 1049828 1292096 2099656 4199312 8398624 16797248