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411212490 = 23513317367
BaseRepresentation
bin11000100000101…
…001101011001010
31001122202202111020
4120200221223022
51320232244430
6104445413310
713122151143
oct3040515312
91048682436
10411212490
111a1134037
12b586a236
1367269000
143c882aca
152617ab10
hex18829aca

411212490 has 128 divisors (see below), whose sum is σ = 1135088640. Its totient is φ = 95007744.

The previous prime is 411212479. The next prime is 411212509. The reversal of 411212490 is 94212114.

It is a self number, because there is not a number n which added to its sum of digits gives 411212490.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120287 + ... + 1120653.

It is an arithmetic number, because the mean of its divisors is an integer number (8867880).

Almost surely, 2411212490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411212490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567544320).

411212490 is an abundant number, since it is smaller than the sum of its proper divisors (723876150).

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

411212490 is a wasteful number, since it uses less digits than its factorization.

411212490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 411212490 is about 20278.3749348906. The cubic root of 411212490 is about 743.6274836208.

The spelling of 411212490 in words is "four hundred eleven million, two hundred twelve thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 169 170 195 221 255 338 367 390 442 507 510 663 734 845 1014 1101 1105 1326 1690 1835 2197 2202 2210 2535 2873 3315 3670 4394 4771 5070 5505 5746 6239 6591 6630 8619 9542 10985 11010 12478 13182 14313 14365 17238 18717 21970 23855 28626 28730 31195 32955 37349 37434 43095 47710 62023 62390 65910 71565 74698 81107 86190 93585 112047 124046 143130 162214 186069 186745 187170 224094 243321 310115 372138 373490 405535 486642 560235 620230 806299 811070 930345 1054391 1120470 1216605 1612598 1860690 2108782 2418897 2433210 3163173 4031495 4837794 5271955 6326346 8062990 10543910 12094485 13707083 15815865 24188970 27414166 31631730 41121249 68535415 82242498 137070830 205606245 411212490