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272938896 = 2434210601
BaseRepresentation
bin10000010001001…
…011011110010000
3201000120201210000
4100101023132100
51024333021041
643030010000
76522641136
oct2021133620
9630521700
10272938896
1113008103a
12774a6900
1344714709
142836b756
1518e65bb6
hex1044b790

272938896 has 50 divisors (see below), whose sum is σ = 789968102. Its totient is φ = 90979200.

The previous prime is 272938879. The next prime is 272938921. The reversal of 272938896 is 698839272.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 136890000 + 136048896 = 11700^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 104005 + ... + 106596.

Almost surely, 2272938896 is an apocalyptic number.

It is an amenable number.

272938896 is an abundant number, since it is smaller than the sum of its proper divisors (517029206).

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

272938896 is a wasteful number, since it uses less digits than its factorization.

272938896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210621 (or 210606 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 272938896 is about 16520.8624472211. The cubic root of 272938896 is about 648.6670086627.

The spelling of 272938896 in words is "two hundred seventy-two million, nine hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 210601 421202 631803 842404 1263606 1684808 1895409 2527212 3369616 3790818 5054424 5686227 7581636 10108848 11372454 15163272 17058681 22744908 30326544 34117362 45489816 68234724 90979632 136469448 272938896