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13283325 = 3352111789
BaseRepresentation
bin110010101010…
…111111111101
3220222212022000
4302222333331
511400031300
61152412513
7220622616
oct62527775
926885260
1013283325
117552a60
124547139
1329a1173
141a9ac0d
151275c00
hexcaaffd

13283325 has 48 divisors (see below), whose sum is σ = 26635200. Its totient is φ = 6436800.

The previous prime is 13283323. The next prime is 13283327. The reversal of 13283325 is 52338231.

13283325 is a `hidden beast` number, since 1 + 328 + 332 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13283323) and next prime (13283327).

It is not a de Polignac number, because 13283325 - 21 = 13283323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13283323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6531 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (554900).

Almost surely, 213283325 is an apocalyptic number.

13283325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13283325 is an abundant number, since it is smaller than the sum of its proper divisors (13351875).

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

13283325 is a wasteful number, since it uses less digits than its factorization.

13283325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1808 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13283325 is about 3644.6296108110. The cubic root of 13283325 is about 236.8293917152.

The spelling of 13283325 in words is "thirteen million, two hundred eighty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 1789 2475 5367 7425 8945 16101 19679 26835 44725 48303 59037 80505 98395 134175 177111 241515 295185 402525 491975 531333 885555 1207575 1475925 2656665 4427775 13283325