Search a number
-
+
424525122 = 2327217231231
BaseRepresentation
bin11001010011011…
…011110101000010
31002120211002222200
4121103123311002
51332134300442
6110043014030
713343255400
oct3123336502
91076732880
10424525122
111a86a700a
12ba20a316
1369c4a5c8
144054a470
152740a34c
hex194dbd42

424525122 has 144 divisors (see below), whose sum is σ = 1183133952. Its totient is φ = 109105920.

The previous prime is 424525121. The next prime is 424525133. The reversal of 424525122 is 221525424.

It is a super-2 number, since 2×4245251222 = 360443158418229768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424525121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344247 + ... + 345477.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2424525122 is an apocalyptic number.

424525122 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 424525122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591566976).

424525122 is an abundant number, since it is smaller than the sum of its proper divisors (758608830).

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

424525122 is a wasteful number, since it uses less digits than its factorization.

424525122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 424525122 is about 20604.0074257412. The cubic root of 424525122 is about 751.5671657080.

It can be divided in two parts, 42452 and 5122, that added together give a palindrome (47574).

The spelling of 424525122 in words is "four hundred twenty-four million, five hundred twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 49 51 63 69 98 102 119 126 138 147 153 161 207 238 294 306 322 357 391 414 441 483 714 782 833 882 966 1071 1127 1173 1231 1449 1666 2142 2254 2346 2462 2499 2737 2898 3381 3519 3693 4998 5474 6762 7038 7386 7497 8211 8617 10143 11079 14994 16422 17234 19159 20286 20927 22158 24633 25851 28313 38318 41854 49266 51702 56626 57477 60319 62781 77553 84939 114954 120638 125562 146489 155106 169878 172431 180957 188343 198191 254817 292978 344862 361914 376686 396382 439467 481321 509634 542871 594573 878934 962642 1025423 1085742 1189146 1318401 1387337 1443963 1783719 2050846 2636802 2774674 2887926 3076269 3369247 3567438 4162011 4331889 6152538 6738494 8324022 8663778 9228807 10107741 12486033 18457614 20215482 23584729 24972066 30323223 47169458 60646446 70754187 141508374 212262561 424525122