Search a number
-
+
21853152 = 25348431
BaseRepresentation
bin101001101011…
…1001111100000
31112010020220000
41103113033200
521043300102
62100220000
7353514546
oct123271740
945106800
1021853152
1111376662
12739a600
1346b1a79
142c8bd96
151dba01c
hex14d73e0

21853152 has 60 divisors (see below), whose sum is σ = 64277136. Its totient is φ = 7283520.

The previous prime is 21853147. The next prime is 21853213. The reversal of 21853152 is 25135812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1624 + ... + 6807.

Almost surely, 221853152 is an apocalyptic number.

It is an amenable number.

21853152 is an abundant number, since it is smaller than the sum of its proper divisors (42423984).

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

21853152 is an equidigital number, since it uses as much as digits as its factorization.

21853152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8436 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 21853152 is about 4674.7355005390. The cubic root of 21853152 is about 279.5790954917.

Adding to 21853152 its reverse (25135812), we get a palindrome (46988964).

The spelling of 21853152 in words is "twenty-one million, eight hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8431 16862 25293 33724 50586 67448 75879 101172 134896 151758 202344 227637 269792 303516 404688 455274 607032 682911 809376 910548 1214064 1365822 1821096 2428128 2731644 3642192 5463288 7284384 10926576 21853152