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442644620 = 2251121011811
BaseRepresentation
bin11010011000100…
…011100010001100
31010211220200021012
4122120203202030
51401304111440
6111531224352
713653263045
oct3230434214
91124820235
10442644620
11207952500
121042a80b8
1370922ac2
1442b058cc
1528cd8e65
hex1a62388c

442644620 has 72 divisors (see below), whose sum is σ = 1032426864. Its totient is φ = 159280000.

The previous prime is 442644563. The next prime is 442644647. The reversal of 442644620 is 26446244.

It is a super-2 number, since 2×4426446202 = 391868519229888800, which contains 22 as substring.

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, 243515 + ... + 245325.

It is an arithmetic number, because the mean of its divisors is an integer number (14339262).

Almost surely, 2442644620 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 442644620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516213432).

442644620 is an abundant number, since it is smaller than the sum of its proper divisors (589782244).

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

442644620 is a wasteful number, since it uses less digits than its factorization.

442644620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 442644620 is about 21039.1211793649. The cubic root of 442644620 is about 762.1112923376. Note that the first 3 decimals are identical.

It can be divided in two parts, 44264 and 4620, that added together give a palindrome (48884).

The spelling of 442644620 in words is "four hundred forty-two million, six hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 1811 2020 2222 2420 3622 4444 5555 7244 9055 11110 12221 18110 19921 22220 24442 36220 39842 48884 61105 79684 99605 122210 182911 199210 219131 244420 365822 398420 438262 731644 876524 914555 1095655 1829110 2012021 2191310 3658220 4024042 4382620 8048084 10060105 20120210 22132231 40240420 44264462 88528924 110661155 221322310 442644620