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441035442 = 23423412887
BaseRepresentation
bin11010010010011…
…010101010110010
31010201212220220000
4122102122222302
51400401113232
6111432530430
713633511421
oct3222325262
91121786800
10441035442
11206a53501
12103850a16
13704ab523
14428072b8
1528abc27c
hex1a49aab2

441035442 has 80 divisors (see below), whose sum is σ = 1056730752. Its totient is φ = 137142720.

The previous prime is 441035431. The next prime is 441035447. The reversal of 441035442 is 244530144.

It is a happy number.

It is a super-2 number, since 2×4410354422 = 389024522200270728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (441035447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151323 + ... + 154209.

Almost surely, 2441035442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441035442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528365376).

441035442 is an abundant number, since it is smaller than the sum of its proper divisors (615695310).

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

441035442 is a wasteful number, since it uses less digits than its factorization.

441035442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 441035442 is about 21000.8438401889. The cubic root of 441035442 is about 761.1866515268.

Adding to 441035442 its reverse (244530144), we get a palindrome (685565586).

The spelling of 441035442 in words is "four hundred forty-one million, thirty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 207 246 369 414 621 738 943 1107 1242 1863 1886 2214 2829 2887 3321 3726 5658 5774 6642 8487 8661 16974 17322 25461 25983 50922 51966 66401 76383 77949 118367 132802 152766 155898 199203 233847 236734 355101 398406 467694 597609 710202 1065303 1195218 1792827 2130606 2722441 3195909 3585654 5378481 5444882 6391818 8167323 9587727 10756962 16334646 19175454 24501969 49003938 73505907 147011814 220517721 441035442