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45264 = 2432341
BaseRepresentation
bin1011000011010000
32022002110
423003100
52422024
6545320
7245652
oct130320
968073
1045264
113100a
1222240
13177ab
14126d2
15d629
hexb0d0

45264 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 14080.

The previous prime is 45263. The next prime is 45281. The reversal of 45264 is 46254.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 45264.

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 45264.

It is not an unprimeable number, because it can be changed into a prime (45263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 1124.

245264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

45264 is an abundant number, since it is smaller than the sum of its proper divisors (79728).

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

45264 is a wasteful number, since it uses less digits than its factorization.

45264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 45264 is about 212.7533783516. The cubic root of 45264 is about 35.6383544885.

Subtracting 45264 from its reverse (46254), we obtain a triangular number (990 = T44).

The spelling of 45264 in words is "forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 15088 22632 45264