Search a number
-
+
16966048 = 2511157307
BaseRepresentation
bin100000010111…
…0000110100000
31011220222001011
41000232012200
513320403143
61403350304
7264131461
oct100560640
934828034
1016966048
119638930
125822394
1336904a8
142378d68
151751e9d
hex102e1a0

16966048 has 48 divisors (see below), whose sum is σ = 36789984. Its totient is φ = 7637760.

The previous prime is 16966039. The next prime is 16966049. The reversal of 16966048 is 84066961.

It is a self number, because there is not a number n which added to its sum of digits gives 16966048.

It is not an unprimeable number, because it can be changed into a prime (16966049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55111 + ... + 55417.

It is an arithmetic number, because the mean of its divisors is an integer number (766458).

Almost surely, 216966048 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 16966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394992).

16966048 is an abundant number, since it is smaller than the sum of its proper divisors (19823936).

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

16966048 is a wasteful number, since it uses less digits than its factorization.

16966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 16966048 is about 4118.9862830556. The cubic root of 16966048 is about 256.9568682127.

It can be divided in two parts, 1696 and 6048, that added together give a square (7744 = 882).

The spelling of 16966048 in words is "sixteen million, nine hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 307 314 352 614 628 1228 1256 1727 2456 2512 3377 3454 4912 5024 6754 6908 9824 13508 13816 27016 27632 48199 54032 55264 96398 108064 192796 385592 530189 771184 1060378 1542368 2120756 4241512 8483024 16966048