Search a number
-
+
272967396 = 223134873593
BaseRepresentation
bin10000010001010…
…010011011100100
3201000122011212120
4100101102123210
51024334424041
643030345540
76523120212
oct2021223344
9630564776
10272967396
111300a0499
12774bb2b0
1344724690
1428377cb2
1518e6e366
hex104526e4

272967396 has 48 divisors (see below), whose sum is σ = 687517824. Its totient is φ = 83794176.

The previous prime is 272967377. The next prime is 272967403. The reversal of 272967396 is 693769272.

272967396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2729673962 = 149022398558041632, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 74176 + ... + 77768.

It is an arithmetic number, because the mean of its divisors is an integer number (14323288).

Almost surely, 2272967396 is an apocalyptic number.

272967396 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

272967396 is an abundant number, since it is smaller than the sum of its proper divisors (414550428).

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

272967396 is a wasteful number, since it uses less digits than its factorization.

272967396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4098 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The square root of 272967396 is about 16521.7249704745. The cubic root of 272967396 is about 648.6895855919.

It can be divided in two parts, 2729 and 67396, that added together give a triangular number (70125 = T374).

The spelling of 272967396 in words is "two hundred seventy-two million, nine hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 487 974 1461 1948 2922 3593 5844 6331 7186 10779 12662 14372 18993 21558 25324 37986 43116 46709 75972 93418 140127 186836 280254 560508 1749791 3499582 5249373 6999164 10498746 20997492 22747283 45494566 68241849 90989132 136483698 272967396