Search a number
-
+
272450016 = 25327312959
BaseRepresentation
bin10000001111010…
…100000111100000
3200222122220011100
4100033110013200
51024221400031
643011314400
76515533626
oct2017240740
9628586140
10272450016
1112a877803
12772aba00
13445a3037
1428281516
1518dbade6
hex103d41e0

272450016 has 72 divisors (see below), whose sum is σ = 785453760. Its totient is φ = 89565696.

The previous prime is 272449997. The next prime is 272450029. The reversal of 272450016 is 610054272.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2724500162 = 148458022436800512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14545 + ... + 27503.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2272450016 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 272450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392726880).

272450016 is an abundant number, since it is smaller than the sum of its proper divisors (513003744).

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

272450016 is a wasteful number, since it uses less digits than its factorization.

272450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 272450016 is about 16506.0599780808. The cubic root of 272450016 is about 648.2794862059.

The spelling of 272450016 in words is "two hundred seventy-two million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 12959 21024 25918 38877 51836 77754 103672 116631 155508 207344 233262 311016 414688 466524 622032 933048 946007 1244064 1866096 1892014 2838021 3732192 3784028 5676042 7568056 8514063 11352084 15136112 17028126 22704168 30272224 34056252 45408336 68112504 90816672 136225008 272450016