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427224042 = 232721728493
BaseRepresentation
bin11001011101101…
…110101111101010
31002202220020012200
4121131232233222
51333332132132
6110220521030
713405226100
oct3135565752
91082806180
10427224042
111aa17a823
12bb0b0176
136a683bbb
1440a4dc70
152778ed7c
hex1976ebea

427224042 has 72 divisors (see below), whose sum is σ = 1140158916. Its totient is φ = 114879744.

The previous prime is 427224023. The next prime is 427224047. The reversal of 427224042 is 240422724.

It can be written as a sum of positive squares in 2 ways, for example, as 415792881 + 11431161 = 20391^2 + 3381^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427223997 and 427224015.

It is not an unprimeable number, because it can be changed into a prime (427224047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748 + ... + 29240.

Almost surely, 2427224042 is an apocalyptic number.

427224042 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 427224042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570079458).

427224042 is an abundant number, since it is smaller than the sum of its proper divisors (712934874).

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

427224042 is a wasteful number, since it uses less digits than its factorization.

427224042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28532 (or 28522 counting only the distinct ones).

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

The square root of 427224042 is about 20669.3986850126. The cubic root of 427224042 is about 753.1564993787.

Adding to 427224042 its reverse (240422724), we get a palindrome (667646766).

It can be divided in two parts, 42722 and 4042, that added together give a palindrome (46764).

The spelling of 427224042 in words is "four hundred twenty-seven million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 28493 56986 85479 170958 199451 256437 398902 484381 512874 598353 968762 1196706 1396157 1453143 1795059 2792314 2906286 3390667 3590118 4188471 4359429 6781334 8376942 8718858 10172001 12565413 20344002 23734669 25130826 30516003 47469338 61032006 71204007 142408014 213612021 427224042