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442242556 = 2271719107457
BaseRepresentation
bin11010010111000…
…001010111111100
31010211011020201221
4122113001113330
51401203230211
6111514443124
713646666620
oct3227012774
91124136657
10442242556
112076a8418
121041334a4
1370811ab2
1442a3d180
1528c59c71
hex1a5c15fc

442242556 has 96 divisors (see below), whose sum is σ = 997194240. Its totient is φ = 167049216.

The previous prime is 442242529. The next prime is 442242557. The reversal of 442242556 is 655242244.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442242557) 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, 967480 + ... + 967936.

It is an arithmetic number, because the mean of its divisors is an integer number (10387440).

Almost surely, 2442242556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442242556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498597120).

442242556 is an abundant number, since it is smaller than the sum of its proper divisors (554951684).

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

442242556 is a wasteful number, since it uses less digits than its factorization.

442242556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its digits is 76800, while the sum is 34.

The square root of 442242556 is about 21029.5638566281. The cubic root of 442242556 is about 761.8804748654.

The spelling of 442242556 in words is "four hundred forty-two million, two hundred forty-two thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 107 119 133 214 238 266 323 428 457 476 532 646 749 914 1292 1498 1819 1828 2033 2261 2996 3199 3638 4066 4522 6398 7276 7769 8132 8683 9044 12733 12796 14231 15538 17366 25466 28462 31076 34561 34732 48899 50932 54383 56924 60781 69122 97798 108766 121562 138244 147611 195596 217532 241927 243124 295222 342293 483854 590444 684586 831283 929081 967708 1033277 1369172 1662566 1858162 2066554 3325132 3716324 4133108 5818981 6503567 11637962 13007134 15794377 23275924 26014268 31588754 63177508 110560639 221121278 442242556