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442105614 = 2343138719
BaseRepresentation
bin11010010110011…
…111111100001110
31010210220021220000
4122112133330032
51401134334424
6111511505130
713645556436
oct3226377416
91123807800
10442105614
11207614545
121040881a6
1370794672
1442a052c6
1528c2e3c9
hex1a59ff0e

442105614 has 40 divisors (see below), whose sum is σ = 993923040. Its totient is φ = 146880864.

The previous prime is 442105591. The next prime is 442105633. The reversal of 442105614 is 416501244.

442105614 is a `hidden beast` number, since 4 + 42 + 1 + 0 + 5 + 614 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46347 + ... + 55065.

It is an arithmetic number, because the mean of its divisors is an integer number (24848076).

Almost surely, 2442105614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442105614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496961520).

442105614 is an abundant number, since it is smaller than the sum of its proper divisors (551817426).

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

442105614 is a wasteful number, since it uses less digits than its factorization.

442105614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 442105614 is about 21026.3076644474. The cubic root of 442105614 is about 761.8018270695.

Adding to 442105614 its reverse (416501244), we get a palindrome (858606858).

The spelling of 442105614 in words is "four hundred forty-two million, one hundred five thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 626 939 1878 2817 5634 8451 8719 16902 17438 25353 26157 50706 52314 78471 156942 235413 470826 706239 1412478 2729047 5458094 8187141 16374282 24561423 49122846 73684269 147368538 221052807 442105614