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538129350 = 232521129883
BaseRepresentation
bin100000000100110…
…011001111000110
31101111120210200200
4200010303033012
52100230114400
6125221551330
716223011143
oct4004631706
91344523620
10538129350
1125683a600
12130275546
1387645345
145167d3ca
153239ab00
hex201333c6

538129350 has 108 divisors (see below), whose sum is σ = 1589317548. Its totient is φ = 130442400.

The previous prime is 538129349. The next prime is 538129399. The reversal of 538129350 is 53921835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 49509 + ... + 59391.

Almost surely, 2538129350 is an apocalyptic number.

538129350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 538129350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794658774).

538129350 is an abundant number, since it is smaller than the sum of its proper divisors (1051188198).

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

538129350 is a wasteful number, since it uses less digits than its factorization.

538129350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 538129350 is about 23197.6151791515. The cubic root of 538129350 is about 813.3838775734.

The spelling of 538129350 in words is "five hundred thirty-eight million, one hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1650 1815 2178 2475 3025 3630 4950 5445 6050 9075 9883 10890 18150 19766 27225 29649 49415 54450 59298 88947 98830 108713 148245 177894 217426 247075 296490 326139 444735 494150 543565 652278 741225 889470 978417 1087130 1195843 1482450 1630695 1956834 2223675 2391686 2717825 3261390 3587529 4447350 4892085 5435650 5979215 7175058 8153475 9784170 10762587 11958430 16306950 17937645 21525174 24460425 29896075 35875290 48920850 53812935 59792150 89688225 107625870 179376450 269064675 538129350