Search a number
-
+
442973540 = 225791392017
BaseRepresentation
bin11010011001110…
…011110101100100
31010212112101110102
4122121303311210
51401400123130
6111542243232
713656133022
oct3231636544
91125471412
10442973540
11208057639
12104426518
1370a09729
1442b8d712
1528d51645
hex1a673d64

442973540 has 48 divisors (see below), whose sum is σ = 949267200. Its totient is φ = 173601792.

The previous prime is 442973533. The next prime is 442973551. The reversal of 442973540 is 45379244.

It is a junction number, because it is equal to n+sod(n) for n = 442973494 and 442973503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218612 + ... + 220628.

It is an arithmetic number, because the mean of its divisors is an integer number (19776400).

Almost surely, 2442973540 is an apocalyptic number.

It is an amenable number.

442973540 is an abundant number, since it is smaller than the sum of its proper divisors (506293660).

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

442973540 is a wasteful number, since it uses less digits than its factorization.

442973540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 442973540 is about 21046.9365941935. The cubic root of 442973540 is about 762.3000152773.

The spelling of 442973540 in words is "four hundred forty-two million, nine hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 79 139 158 278 316 395 556 695 790 1390 1580 2017 2780 4034 8068 10085 10981 20170 21962 40340 43924 54905 109810 159343 219620 280363 318686 560726 637372 796715 1121452 1401815 1593430 2803630 3186860 5607260 22148677 44297354 88594708 110743385 221486770 442973540