Search a number
-
+
273728896 = 2772192297
BaseRepresentation
bin10000010100001…
…100010110000000
3201002001212110021
4100110030112000
51030033311041
643054543224
76532441300
oct2024142600
9632055407
10273728896
11130570631
1277807b14
134493017c
14284d5600
151906ecd1
hex1050c580

273728896 has 96 divisors (see below), whose sum is σ = 668028600. Its totient is φ = 111089664.

The previous prime is 273728891. The next prime is 273728909. The reversal of 273728896 is 698827372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273728891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118020 + ... + 120316.

Almost surely, 2273728896 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 273728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334014300).

273728896 is an abundant number, since it is smaller than the sum of its proper divisors (394299704).

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

273728896 is a wasteful number, since it uses less digits than its factorization.

273728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2325 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 273728896 is about 16544.7543348337. The cubic root of 273728896 is about 649.2922442319.

The spelling of 273728896 in words is "two hundred seventy-three million, seven hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 392 448 532 608 784 896 931 1064 1216 1568 1862 2128 2297 2432 3136 3724 4256 4594 6272 7448 8512 9188 14896 16079 17024 18376 29792 32158 36752 43643 59584 64316 73504 87286 112553 119168 128632 147008 174572 225106 257264 294016 305501 349144 450212 514528 611002 698288 900424 1029056 1222004 1396576 1800848 2058112 2138507 2444008 2793152 3601696 4277014 4888016 5586304 7203392 8554028 9776032 14406784 17108056 19552064 34216112 39104128 68432224 136864448 273728896