Search a number
-
+
445041100 = 225272232851
BaseRepresentation
bin11010100001101…
…100100111001100
31011000102102121201
4122201230213030
51402412303400
6112054435244
714012533630
oct3241544714
91130372551
10445041100
11209239a69
12105062b24
137128183a
144316adc0
152910e06a
hex1a86c9cc

445041100 has 72 divisors (see below), whose sum is σ = 1109040128. Its totient is φ = 151848000.

The previous prime is 445041089. The next prime is 445041127. The reversal of 445041100 is 1140544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154675 + ... + 157525.

Almost surely, 2445041100 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 445041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554520064).

445041100 is an abundant number, since it is smaller than the sum of its proper divisors (663999028).

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

445041100 is a wasteful number, since it uses less digits than its factorization.

445041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 445041100 is about 21095.9972506635. The cubic root of 445041100 is about 763.4841757205.

Adding to 445041100 its reverse (1140544), we get a palindrome (446181644).

The spelling of 445041100 in words is "four hundred forty-five million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 223 350 446 700 892 1115 1561 2230 2851 3122 4460 5575 5702 6244 7805 11150 11404 14255 15610 19957 22300 28510 31220 39025 39914 57020 71275 78050 79828 99785 142550 156100 199570 285100 399140 498925 635773 997850 1271546 1995700 2543092 3178865 4450411 6357730 8900822 12715460 15894325 17801644 22252055 31788650 44504110 63577300 89008220 111260275 222520550 445041100