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442000405 = 57111517603
BaseRepresentation
bin11010010110000…
…110010000010101
31010210200221120101
4122112012100111
51401123003110
6111505334101
713644640630
oct3226062025
91123627511
10442000405
112075524a0
12104037331
1370758802
14429b8c17
1528c0d13a
hex1a586415

442000405 has 32 divisors (see below), whose sum is σ = 665745408. Its totient is φ = 273672000.

The previous prime is 442000399. The next prime is 442000423. The reversal of 442000405 is 504000244.

It is not a de Polignac number, because 442000405 - 29 = 441999893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54334 + ... + 61936.

It is an arithmetic number, because the mean of its divisors is an integer number (20804544).

Almost surely, 2442000405 is an apocalyptic number.

It is an amenable number.

442000405 is a deficient number, since it is larger than the sum of its proper divisors (223745003).

442000405 is a wasteful number, since it uses less digits than its factorization.

442000405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777.

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 442000405 is about 21023.8056735692. The cubic root of 442000405 is about 761.7413929678.

Adding to 442000405 its reverse (504000244), we get a palindrome (946000649).

The spelling of 442000405 in words is "four hundred forty-two million, four hundred five", and thus it is an aban number.

Divisors: 1 5 7 11 35 55 77 151 385 755 1057 1661 5285 7603 8305 11627 38015 53221 58135 83633 266105 418165 585431 1148053 2927155 5740265 8036371 12628583 40181855 63142915 88400081 442000405