Search a number
-
+
411055232 = 2774347227
BaseRepresentation
bin11000100000000…
…011010010000000
31001122110202202212
4120200003102000
51320212231412
6104442201252
713120624520
oct3040032200
91048422685
10411055232
111a1036975
12b57b3228
1367212563
143c841680
1526149222
hex18803480

411055232 has 128 divisors (see below), whose sum is σ = 982333440. Its totient is φ = 167666688.

The previous prime is 411055213. The next prime is 411055283. The reversal of 411055232 is 232550114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 411055198 and 411055207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810703 + ... + 1810929.

It is an arithmetic number, because the mean of its divisors is an integer number (7674480).

Almost surely, 2411055232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491166720).

411055232 is an abundant number, since it is smaller than the sum of its proper divisors (571278208).

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

411055232 is a wasteful number, since it uses less digits than its factorization.

411055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 411055232 is about 20274.4970837750. The cubic root of 411055232 is about 743.5326775826.

The spelling of 411055232 in words is "four hundred eleven million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 47 56 64 86 94 112 128 172 188 224 227 301 329 344 376 448 454 602 658 688 752 896 908 1204 1316 1376 1504 1589 1816 2021 2408 2632 2752 3008 3178 3632 4042 4816 5264 5504 6016 6356 7264 8084 9632 9761 10528 10669 12712 14147 14528 16168 19264 19522 21056 21338 25424 28294 29056 32336 38528 39044 42112 42676 50848 56588 64672 68327 74683 78088 85352 101696 113176 129344 136654 149366 156176 170704 203392 226352 258688 273308 298732 312352 341408 452704 458767 546616 597464 624704 682816 905408 917534 1093232 1194928 1249408 1365632 1810816 1835068 2186464 2389856 3211369 3670136 4372928 4779712 6422738 7340272 8745856 9559424 12845476 14680544 25690952 29361088 51381904 58722176 102763808 205527616 411055232