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424811088 = 243313671129
BaseRepresentation
bin11001010100100…
…001101001010000
31002121100122021000
4121110201221100
51332222423323
6110053102000
713345556202
oct3124415120
91077318230
10424811088
111a8881949
12ba327900
136a01a810
14405c2772
1527464e43
hex19521a50

424811088 has 160 divisors (see below), whose sum is σ = 1333942400. Its totient is φ = 128646144.

The previous prime is 424811083. The next prime is 424811117. The reversal of 424811088 is 880118424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424811083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375708 + ... + 376836.

It is an arithmetic number, because the mean of its divisors is an integer number (8337140).

Almost surely, 2424811088 is an apocalyptic number.

424811088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424811088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666971200).

424811088 is an abundant number, since it is smaller than the sum of its proper divisors (909131312).

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

424811088 is a wasteful number, since it uses less digits than its factorization.

424811088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 424811088 is about 20610.9458298255. The cubic root of 424811088 is about 751.7358831798.

The spelling of 424811088 in words is "four hundred twenty-four million, eight hundred eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 312 351 402 432 468 536 603 624 702 804 871 936 1072 1129 1206 1404 1608 1742 1809 1872 2258 2412 2613 2808 3216 3387 3484 3618 4516 4824 5226 5616 6774 6968 7236 7839 9032 9648 10161 10452 13548 13936 14472 14677 15678 18064 20322 20904 23517 27096 28944 29354 30483 31356 40644 41808 44031 47034 54192 58708 60966 62712 75643 81288 88062 94068 117416 121932 125424 132093 151286 162576 176124 188136 226929 234832 243864 264186 302572 352248 376272 396279 453858 487728 528372 605144 680787 704496 792558 907716 983359 1056744 1210288 1361574 1585116 1815432 1966718 2042361 2113488 2723148 2950077 3170232 3630864 3933436 4084722 5446296 5900154 6340464 7866872 8169444 8850231 10892592 11800308 15733744 16338888 17700462 23600616 26550693 32677776 35400924 47201232 53101386 70801848 106202772 141603696 212405544 424811088