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442430505 = 34511472113
BaseRepresentation
bin11010010111101…
…111010000101001
31010211111210120000
4122113233100221
51401230234010
6111522453213
713651411566
oct3227572051
91124453500
10442430505
11207816650
12104204209
13708794ca
1442a8b86d
1528c957c0
hex1a5ef429

442430505 has 80 divisors (see below), whose sum is σ = 884024064. Its totient is φ = 209848320.

The previous prime is 442430501. The next prime is 442430509. The reversal of 442430505 is 505034244.

It is an interprime number because it is at equal distance from previous prime (442430501) and next prime (442430509).

It is not a de Polignac number, because 442430505 - 22 = 442430501 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (442430501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208329 + ... + 210441.

Almost surely, 2442430505 is an apocalyptic number.

442430505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442430505 is a deficient number, since it is larger than the sum of its proper divisors (441593559).

442430505 is a wasteful number, since it uses less digits than its factorization.

442430505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 442430505 is about 21034.0320671050. The cubic root of 442430505 is about 761.9883902999.

Adding to 442430505 its reverse (505034244), we get a palindrome (947464749).

The spelling of 442430505 in words is "four hundred forty-two million, four hundred thirty thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 81 99 135 141 165 235 297 405 423 495 517 705 891 1269 1485 1551 2113 2115 2585 3807 4455 4653 6339 6345 7755 10565 13959 19017 19035 23243 23265 31695 41877 57051 69729 69795 95085 99311 116215 171153 209187 209385 285255 297933 348645 496555 627561 855765 893799 1045935 1092421 1489665 1882683 2681397 3137805 3277263 4468995 5462105 8044191 9413415 9831789 13406985 16386315 29495367 40220955 49158945 88486101 147476835 442430505