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72286269 = 31159137271
BaseRepresentation
bin1000100111100…
…00000000111101
312001000112010020
410103300000331
5122001130034
611101202353
71535265066
oct423600075
9161015106
1072286269
1137892820
12202603b9
1311c8c353
14985956d
15652d249
hex44f003d

72286269 has 32 divisors (see below), whose sum is σ = 108103680. Its totient is φ = 42595200.

The previous prime is 72286259. The next prime is 72286273. The reversal of 72286269 is 96268227.

It is not a de Polignac number, because 72286269 - 25 = 72286237 is a prime.

It is a super-2 number, since 2×722862692 = 10450609371880722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72286269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72286219) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 266604 + ... + 266874.

It is an arithmetic number, because the mean of its divisors is an integer number (3378240).

Almost surely, 272286269 is an apocalyptic number.

It is an amenable number.

72286269 is a deficient number, since it is larger than the sum of its proper divisors (35817411).

72286269 is a wasteful number, since it uses less digits than its factorization.

72286269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its digits is 145152, while the sum is 42.

The square root of 72286269 is about 8502.1332029086. The cubic root of 72286269 is about 416.5673906059.

The spelling of 72286269 in words is "seventy-two million, two hundred eighty-six thousand, two hundred sixty-nine".

Divisors: 1 3 11 33 59 137 177 271 411 649 813 1507 1947 2981 4521 8083 8943 15989 24249 37127 47967 88913 111381 175879 266739 408397 527637 1225191 2190493 6571479 24095423 72286269