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45201 = 3131961
BaseRepresentation
bin1011000010010001
32022000010
423002101
52421301
6545133
7245532
oct130221
968003
1045201
1130a62
12221a9
1317760
1412689
15d5d6
hexb091

45201 has 16 divisors (see below), whose sum is σ = 69440. Its totient is φ = 25920.

The previous prime is 45197. The next prime is 45233. The reversal of 45201 is 10254.

It is not a de Polignac number, because 45201 - 22 = 45197 is a prime.

It is a Duffinian number.

It is a Curzon number.

45201 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45201.

It is not an unprimeable number, because it can be changed into a prime (45281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

245201 is an apocalyptic number.

45201 is the 114-th nonagonal number.

It is an amenable number.

45201 is a deficient number, since it is larger than the sum of its proper divisors (24239).

45201 is a wasteful number, since it uses less digits than its factorization.

45201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 45201 is about 212.6052680439. The cubic root of 45201 is about 35.6218125803.

Adding to 45201 its reverse (10254), we get a palindrome (55455).

It can be divided in two parts, 45 and 201, that multiplied together give a triangular number (9045 = T134).

The spelling of 45201 in words is "forty-five thousand, two hundred one".

Divisors: 1 3 13 19 39 57 61 183 247 741 793 1159 2379 3477 15067 45201