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521225406 = 2321321710079
BaseRepresentation
bin11111000100010…
…100010010111110
31100022202222211200
4133010110102332
52031413203111
6123415400330
715626225412
oct3704242276
91308688750
10521225406
112482443a9
121266830a6
1383ca7200
144d31cd42
1530b5c256
hex1f1144be

521225406 has 72 divisors (see below), whose sum is σ = 1294937280. Its totient is φ = 150928128.

The previous prime is 521225387. The next prime is 521225407. The reversal of 521225406 is 604522125.

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 521225406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521225407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46675 + ... + 56753.

It is an arithmetic number, because the mean of its divisors is an integer number (17985240).

Almost surely, 2521225406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521225406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647468640).

521225406 is an abundant number, since it is smaller than the sum of its proper divisors (773711874).

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

521225406 is a wasteful number, since it uses less digits than its factorization.

521225406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 521225406 is about 22830.3614951669. The cubic root of 521225406 is about 804.7763255986.

The spelling of 521225406 in words is "five hundred twenty-one million, two hundred twenty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 10079 17238 20158 25857 30237 51714 60474 90711 131027 171343 181422 262054 342686 393081 514029 786162 1028058 1179243 1542087 1703351 2227459 2358486 3084174 3406702 4454918 5110053 6682377 10220106 13364754 15330159 20047131 28956967 30660318 40094262 57913934 86870901 173741802 260612703 521225406