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442531122 = 231124114867
BaseRepresentation
bin11010011000000…
…111110100110010
31010211200220120120
4122120013310302
51401241443442
6111524551110
713652311125
oct3230076462
91124626516
10442531122
11207885200
12104252496
13708b3247
1442ab63bc
1528cb54ec
hex1a607d32

442531122 has 48 divisors (see below), whose sum is σ = 996631776. Its totient is φ = 130820800.

The previous prime is 442531121. The next prime is 442531207. The reversal of 442531122 is 221135244.

It is a junction number, because it is equal to n+sod(n) for n = 442531092 and 442531101.

It is not an unprimeable number, because it can be changed into a prime (442531121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22333 + ... + 37199.

It is an arithmetic number, because the mean of its divisors is an integer number (20763162).

Almost surely, 2442531122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442531122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498315888).

442531122 is an abundant number, since it is smaller than the sum of its proper divisors (554100654).

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

442531122 is a wasteful number, since it uses less digits than its factorization.

442531122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14935 (or 14924 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 442531122 is about 21036.4236979578. The cubic root of 442531122 is about 762.0461494084.

Adding to 442531122 its reverse (221135244), we get a palindrome (663666366).

The spelling of 442531122 in words is "four hundred forty-two million, five hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1353 2706 4961 9922 14867 14883 29734 29766 44601 89202 163537 327074 490611 609547 981222 1219094 1798907 1828641 3597814 3657282 5396721 6705017 10793442 13410034 20115051 40230102 73755187 147510374 221265561 442531122