Search a number
-
+
445816 = 23719419
BaseRepresentation
bin1101100110101111000
3211122112201
41230311320
5103231231
613315544
73534520
oct1546570
9748481
10445816
11284a48
12195bb4
13127bc7
14b8680
158c161
hex6cd78

445816 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 180576.

The previous prime is 445807. The next prime is 445829. The reversal of 445816 is 618544.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 855 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2445816 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 445816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

445816 is an abundant number, since it is smaller than the sum of its proper divisors (562184).

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

445816 is a wasteful number, since it uses less digits than its factorization.

445816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 445816 is about 667.6945409392. The cubic root of 445816 is about 76.3927041816.

The spelling of 445816 in words is "four hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 419 532 838 1064 1676 2933 3352 5866 7961 11732 15922 23464 31844 55727 63688 111454 222908 445816