Search a number
-
+
414492534 = 2322941107181
BaseRepresentation
bin11000101101001…
…010011101110110
31001212221101212100
4120231022131312
51322102230114
6105044002530
713162062021
oct3055123566
91055841770
10414492534
111a2a74415
12b6990446
1367b46c71
143d0981b8
15265c7909
hex18b4a776

414492534 has 96 divisors (see below), whose sum is σ = 965895840. Its totient is φ = 128217600.

The previous prime is 414492527. The next prime is 414492557. The reversal of 414492534 is 435294414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289924 + ... + 2290104.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 2414492534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414492534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482947920).

414492534 is an abundant number, since it is smaller than the sum of its proper divisors (551403306).

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

414492534 is a wasteful number, since it uses less digits than its factorization.

414492534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 414492534 is about 20359.0897144249. The cubic root of 414492534 is about 745.5994358794.

The spelling of 414492534 in words is "four hundred fourteen million, four hundred ninety-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 107 123 174 181 214 246 261 321 362 369 522 543 642 738 963 1086 1189 1629 1926 2378 3103 3258 3567 4387 5249 6206 7134 7421 8774 9309 10498 10701 13161 14842 15747 18618 19367 21402 22263 26322 27927 31494 38734 39483 44526 47241 55854 58101 66789 78966 94482 116202 127223 133578 174303 215209 254446 348606 381669 430418 561643 645627 763338 794047 1123286 1145007 1291254 1588094 1684929 1936881 2290014 2382141 3369858 3873762 4764282 5054787 7146423 10109574 14292846 23027363 46054726 69082089 138164178 207246267 414492534