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442743813 = 3523372141
BaseRepresentation
bin11010011000111…
…011110000000101
31010212002201100000
4122120323300011
51401320300223
6111533311513
713654155201
oct3230736005
91125081300
10442743813
11207a0aa86
12104335599
1370958cb5
1442b2db01
1528d08543
hex1a63bc05

442743813 has 48 divisors (see below), whose sum is σ = 711075456. Its totient is φ = 274570560.

The previous prime is 442743797. The next prime is 442743817. The reversal of 442743813 is 318347244.

442743813 is a `hidden beast` number, since 4 + 4 + 274 + 381 + 3 = 666.

It is not a de Polignac number, because 442743813 - 24 = 442743797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442743817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205723 + ... + 207863.

It is an arithmetic number, because the mean of its divisors is an integer number (14814072).

Almost surely, 2442743813 is an apocalyptic number.

It is an amenable number.

442743813 is a deficient number, since it is larger than the sum of its proper divisors (268331643).

442743813 is a wasteful number, since it uses less digits than its factorization.

442743813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 442743813 is about 21041.4783938772. The cubic root of 442743813 is about 762.1682156992.

It can be divided in two parts, 442743 and 813, that added together give a square (443556 = 6662).

The spelling of 442743813 in words is "four hundred forty-two million, seven hundred forty-three thousand, eight hundred thirteen".

Divisors: 1 3 9 23 27 37 69 81 111 207 243 333 621 851 999 1863 2141 2553 2997 5589 6423 7659 8991 19269 22977 49243 57807 68931 79217 147729 173421 206793 237651 443187 520263 712953 1329561 1821991 2138859 3988683 5465973 6416577 11966049 16397919 19249731 49193757 147581271 442743813