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523214406 = 23211213171087
BaseRepresentation
bin11111001011111…
…001111001000110
31100110112001020100
4133023321321012
52032420330111
6123530144530
715652151301
oct3713717106
91313461210
10523214406
11249382800
12127282146
1384522630
144d6b9b38
1530e01756
hex1f2f9e46

523214406 has 144 divisors (see below), whose sum is σ = 1422150912. Its totient is φ = 137617920.

The previous prime is 523214401. The next prime is 523214429. The reversal of 523214406 is 604412325.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 523214406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523214401) 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, 480795 + ... + 481881.

It is an arithmetic number, because the mean of its divisors is an integer number (9876048).

Almost surely, 2523214406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523214406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711075456).

523214406 is an abundant number, since it is smaller than the sum of its proper divisors (898936506).

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

523214406 is a wasteful number, since it uses less digits than its factorization.

523214406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 523214406 is about 22873.8804316189. The cubic root of 523214406 is about 805.7987036999.

The spelling of 523214406 in words is "five hundred twenty-three million, two hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 121 143 153 187 198 221 234 242 286 306 363 374 429 442 561 663 726 858 1087 1089 1122 1287 1326 1573 1683 1989 2057 2174 2178 2431 2574 3146 3261 3366 3978 4114 4719 4862 6171 6522 7293 9438 9783 11957 12342 14131 14157 14586 18479 18513 19566 21879 23914 26741 28262 28314 35871 36958 37026 42393 43758 53482 55437 71742 80223 84786 107613 110874 127179 131527 155441 160446 166311 203269 215226 240227 240669 254358 263054 310882 332622 394581 406538 466323 480454 481338 609807 720681 789162 932646 1183743 1219614 1398969 1441362 1709851 1829421 2162043 2235959 2367486 2642497 2797938 3419702 3658842 4324086 4471918 5129553 5284994 6707877 7927491 10259106 13415754 15388659 15854982 20123631 23782473 29067467 30777318 40247262 47564946 58134934 87202401 174404802 261607203 523214406