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445038 = 23112613
BaseRepresentation
bin1101100101001101110
3211121110220
41230221232
5103220123
613312210
73532326
oct1545156
9747426
10445038
11284400
12195666
13127749
14b8286
158bce3
hex6ca6e

445038 has 24 divisors (see below), whose sum is σ = 979944. Its totient is φ = 134640.

The previous prime is 445033. The next prime is 445069. The reversal of 445038 is 830544.

It is a happy number.

It is a super-3 number, since 3×4450383 = 264431105333384616, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444999 and 445017.

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 445038.

It is not an unprimeable number, because it can be changed into a prime (445031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (40831).

2445038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489972).

445038 is an abundant number, since it is smaller than the sum of its proper divisors (534906).

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

445038 is a wasteful number, since it uses less digits than its factorization.

445038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 445038 is about 667.1116848025. Note that the first 3 decimals coincide. The cubic root of 445038 is about 76.3482402996.

The spelling of 445038 in words is "four hundred forty-five thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 613 726 1226 1839 3678 6743 13486 20229 40458 74173 148346 222519 445038