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45353 = 7111931
BaseRepresentation
bin1011000100101001
32022012202
423010221
52422403
6545545
7246140
oct130451
968182
1045353
1131090
12222b5
1317849
1412757
15d688
hexb129

45353 has 16 divisors (see below), whose sum is σ = 61440. Its totient is φ = 32400.

The previous prime is 45343. The next prime is 45361. The reversal of 45353 is 35354.

45353 is nontrivially palindromic in base 6.

It is a cyclic number.

It is not a de Polignac number, because 45353 - 24 = 45337 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45353.

It is not an unprimeable number, because it can be changed into a prime (45343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (3840).

245353 is an apocalyptic number.

It is an amenable number.

45353 is a deficient number, since it is larger than the sum of its proper divisors (16087).

45353 is a wasteful number, since it uses less digits than its factorization.

45353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68.

The product of its digits is 900, while the sum is 20.

The square root of 45353 is about 212.9624380026. The cubic root of 45353 is about 35.6616970784.

Subtracting from 45353 its reverse (35354), we obtain a palindrome (9999).

It can be divided in two parts, 4 and 5353, that multiplied together give a palindrome (21412).

The spelling of 45353 in words is "forty-five thousand, three hundred fifty-three".

Divisors: 1 7 11 19 31 77 133 209 217 341 589 1463 2387 4123 6479 45353