Search a number
-
+
442475620 = 225291276007
BaseRepresentation
bin11010010111111…
…010010001100100
31010211121002102221
4122113322101210
51401233204440
6111523442124
713651660246
oct3227722144
91124532387
10442475620
11207847534
12104226344
1370893bc2
1442aa0096
1528ca3d4a
hex1a5fa464

442475620 has 48 divisors (see below), whose sum is σ = 968970240. Its totient is φ = 169513344.

The previous prime is 442475611. The next prime is 442475669. The reversal of 442475620 is 26574244.

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, 70657 + ... + 76663.

It is an arithmetic number, because the mean of its divisors is an integer number (20186880).

Almost surely, 2442475620 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 442475620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484485120).

442475620 is an abundant number, since it is smaller than the sum of its proper divisors (526494620).

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

442475620 is a wasteful number, since it uses less digits than its factorization.

442475620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 442475620 is about 21035.1044684832. The cubic root of 442475620 is about 762.0142896125.

The spelling of 442475620 in words is "four hundred forty-two million, four hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 127 145 254 290 508 580 635 1270 2540 3683 6007 7366 12014 14732 18415 24028 30035 36830 60070 73660 120140 174203 348406 696812 762889 871015 1525778 1742030 3051556 3484060 3814445 7628890 15257780 22123781 44247562 88495124 110618905 221237810 442475620