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45945 = 3251021
BaseRepresentation
bin1011001101111001
32100000200
423031321
52432240
6552413
7250644
oct131571
970020
1045945
1131579
1222709
1317bb3
1412a5b
15d930
hexb379

45945 has 12 divisors (see below), whose sum is σ = 79716. Its totient is φ = 24480.

The previous prime is 45943. The next prime is 45949. The reversal of 45945 is 54954.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 24336 = 147^2 + 156^2 .

It is not a de Polignac number, because 45945 - 21 = 45943 is a prime.

It is a super-2 number, since 2×459452 = 4221886050, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (6643).

245945 is an apocalyptic number.

45945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45945 is a deficient number, since it is larger than the sum of its proper divisors (33771).

45945 is a wasteful number, since it uses less digits than its factorization.

45945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1029 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45945 is about 214.3478481348. The cubic root of 45945 is about 35.8161927517.

Subtracting 45945 from its reverse (54954), we obtain a palindrome (9009).

It can be divided in two parts, 45 and 945, that added together give a triangular number (990 = T44).

The spelling of 45945 in words is "forty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 1021 3063 5105 9189 15315 45945