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427042224 = 243274110333
BaseRepresentation
bin11001011101000…
…010010110110000
31002202112222210200
4121131002112300
51333310322344
6110212555200
713403541030
oct3135022660
91082488720
10427042224
111aa066164
12bb022b00
136a61c20b
1440a038c0
1527756069
hex197425b0

427042224 has 120 divisors (see below), whose sum is σ = 1399306272. Its totient is φ = 119024640.

The previous prime is 427042207. The next prime is 427042229. The reversal of 427042224 is 422240724.

It is a Cunningham number, because it is equal to 206652-1.

It is a super-2 number, since 2×4270422242 = 364730122157732352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (427042229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36162 + ... + 46494.

Almost surely, 2427042224 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 427042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699653136).

427042224 is an abundant number, since it is smaller than the sum of its proper divisors (972264048).

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

427042224 is a wasteful number, since it uses less digits than its factorization.

427042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 427042224 is about 20664.9999758045. Note that the first 4 decimals coincide. The cubic root of 427042224 is about 753.0496414420.

Adding to 427042224 its reverse (422240724), we get a palindrome (849282948).

The spelling of 427042224 in words is "four hundred twenty-seven million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 10333 13776 20664 20666 30999 41328 41332 61998 72331 82664 92997 123996 144662 165328 185994 216993 247992 289324 371988 423653 433986 495984 578648 650979 743976 847306 867972 1157296 1270959 1301958 1487952 1694612 1735944 2541918 2603916 2965571 3389224 3471888 3812877 5083836 5207832 5931142 6778448 7625754 8896713 10167672 10415664 11862284 15251508 17793426 20335344 23724568 26690139 30503016 35586852 47449136 53380278 61006032 71173704 106760556 142347408 213521112 427042224