Search a number
-
+
16945552 = 2413257317
BaseRepresentation
bin100000010100…
…1000110010000
31011212220221001
41000221012100
513314224202
61403111344
7264014641
oct100510620
934786831
1016945552
119624498
125812554
133684070
1423716c8
15174ad87
hex1029190

16945552 has 40 divisors (see below), whose sum is σ = 35607096. Its totient is φ = 7766016.

The previous prime is 16945543. The next prime is 16945553. The reversal of 16945552 is 25554961.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 15872256 = 1036^2 + 3984^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16945553) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53298 + ... + 53614.

Almost surely, 216945552 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 16945552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803548).

16945552 is an abundant number, since it is smaller than the sum of its proper divisors (18661544).

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

16945552 is a wasteful number, since it uses less digits than its factorization.

16945552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 16945552 is about 4116.4975403855. The cubic root of 16945552 is about 256.8533534327.

The spelling of 16945552 in words is "sixteen million, nine hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 257 317 514 634 1028 1268 2056 2536 3341 4112 4121 5072 6682 8242 13364 16484 26728 32968 53456 65936 81469 162938 325876 651752 1059097 1303504 2118194 4236388 8472776 16945552