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272398252 = 2274113251
BaseRepresentation
bin10000001111000…
…111011110101100
3200222120021011011
4100033013132230
51024213221002
643010235004
76515230000
oct2017073654
9628507134
10272398252
1112a841925
1277285a64
13445855c9
142826a700
1518daa8d7
hex103c77ac

272398252 has 60 divisors (see below), whose sum is σ = 563269896. Its totient is φ = 115248000.

The previous prime is 272398237. The next prime is 272398253. The reversal of 272398252 is 252893272.

272398252 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2723982523 (a number of 26 digits) contains 333 as substring.

272398252 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (272398253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1085127 + ... + 1085377.

Almost surely, 2272398252 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 272398252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281634948).

272398252 is an abundant number, since it is smaller than the sum of its proper divisors (290871644).

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

272398252 is a wasteful number, since it uses less digits than its factorization.

272398252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 272398252 is about 16504.4918734265. The cubic root of 272398252 is about 648.2384270968.

The spelling of 272398252 in words is "two hundred seventy-two million, three hundred ninety-eight thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 251 343 452 502 686 791 1004 1372 1582 1757 2401 3164 3514 4802 5537 7028 9604 11074 12299 22148 24598 28363 38759 49196 56726 77518 86093 113452 155036 172186 198541 271313 344372 397082 542626 602651 794164 1085252 1205302 1389787 2410604 2779574 5559148 9728509 19457018 38914036 68099563 136199126 272398252