Search a number
-
+
16541252 = 22713291567
BaseRepresentation
bin111111000110…
…011001000100
31011010101022222
4333012121010
513213310002
61350311512
7260412140
oct77063104
934111288
1016541252
119378762
125658598
133572030
1422a8220
1516bb1a2
hexfc6644

16541252 has 48 divisors (see below), whose sum is σ = 36879360. Its totient is φ = 6314112.

The previous prime is 16541251. The next prime is 16541269. The reversal of 16541252 is 25214561.

16541252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165412523 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16541251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9773 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (768320).

Almost surely, 216541252 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 16541252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18439680).

16541252 is an abundant number, since it is smaller than the sum of its proper divisors (20338108).

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

16541252 is a wasteful number, since it uses less digits than its factorization.

16541252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 16541252 is about 4067.0938027048. The cubic root of 16541252 is about 254.7941540110.

The spelling of 16541252 in words is "sixteen million, five hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 1567 2639 3134 5278 6268 10556 10969 20371 21938 40742 43876 45443 81484 90886 142597 181772 285194 318101 570388 590759 636202 1181518 1272404 2363036 4135313 8270626 16541252