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442142118 = 233111275861
BaseRepresentation
bin11010010110101…
…000110110100110
31010210222010222000
4122112220312212
51401142021433
6111512350130
713646101035
oct3226506646
91123863860
10442142118
11207639a10
121040a5346
13707a8172
1442a1471c
1528c3a113
hex1a5a8da6

442142118 has 64 divisors (see below), whose sum is σ = 1080483840. Its totient is φ = 132904800.

The previous prime is 442142117. The next prime is 442142143. The reversal of 442142118 is 811241244.

442142118 is a `hidden beast` number, since 442 + 1 + 4 + 211 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 442142091 and 442142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442142111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72508 + ... + 78368.

It is an arithmetic number, because the mean of its divisors is an integer number (16882560).

Almost surely, 2442142118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442142118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540241920).

442142118 is an abundant number, since it is smaller than the sum of its proper divisors (638341722).

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

442142118 is a wasteful number, since it uses less digits than its factorization.

442142118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 6004 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 442142118 is about 21027.1757019339. The cubic root of 442142118 is about 761.8227934387.

The spelling of 442142118 in words is "four hundred forty-two million, one hundred forty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 594 762 1143 1397 2286 2794 3429 4191 5861 6858 8382 11722 12573 17583 25146 35166 37719 52749 64471 75438 105498 128942 158247 193413 316494 386826 580239 744347 1160478 1488694 1740717 2233041 3481434 4466082 6699123 8187817 13398246 16375634 20097369 24563451 40194738 49126902 73690353 147380706 221071059 442142118