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442142442 = 23374147607
BaseRepresentation
bin11010010110101…
…000111011101010
31010210222011102000
4122112220323222
51401142024232
6111512351430
713646102010
oct3226507352
91123864360
10442142442
1120763a185
121040a5576
13707a8361
1442a148b0
1528c3a27c
hex1a5a8eea

442142442 has 128 divisors (see below), whose sum is σ = 1176698880. Its totient is φ = 120424320.

The previous prime is 442142413. The next prime is 442142471. The reversal of 442142442 is 244241244.

442142442 is a `hidden beast` number, since 4 + 4 + 214 + 2 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (442142413) and next prime (442142471).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728103 + ... + 728709.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2442142442 is an apocalyptic number.

442142442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442142442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588349440).

442142442 is an abundant number, since it is smaller than the sum of its proper divisors (734556438).

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

442142442 is a wasteful number, since it uses less digits than its factorization.

442142442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 442142442 is about 21027.1834062482. The cubic root of 442142442 is about 761.8229795255.

Adding to 442142442 its reverse (244241244), we get a palindrome (686383686).

It can be divided in two parts, 44214 and 2442, that added together give a 6-th power (46656 = 66).

The spelling of 442142442 in words is "four hundred forty-two million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 47 54 63 82 94 123 126 141 189 246 282 287 329 369 378 423 574 607 658 738 846 861 987 1107 1214 1269 1722 1821 1927 1974 2214 2538 2583 2961 3642 3854 4249 5166 5463 5781 5922 7749 8498 8883 10926 11562 12747 13489 15498 16389 17343 17766 24887 25494 26978 28529 32778 34686 38241 40467 49774 52029 57058 74661 76482 80934 85587 104058 114723 121401 149322 171174 174209 199703 223983 229446 242802 256761 348418 364203 399406 447966 513522 522627 599109 671949 728406 770283 1045254 1169689 1198218 1343898 1540566 1567881 1797327 2339378 3135762 3509067 3594654 4703643 5391981 7018134 8187823 9407286 10527201 10783962 16375646 21054402 24563469 31581603 49126938 63163206 73690407 147380814 221071221 442142442