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831421305 = 3251113472749
BaseRepresentation
bin110001100011100…
…111101101111001
32010221110120121200
4301203213231321
53200320440210
6214300124413
726413651551
oct6143475571
92127416550
10831421305
11397352150
121b2536709
13103334a90
147c5c8161
154ced20c0
hex318e7b79

831421305 has 96 divisors (see below), whose sum is σ = 1729728000. Its totient is φ = 364055040.

The previous prime is 831421303. The next prime is 831421421. The reversal of 831421305 is 503124138.

It is a happy number.

It is not a de Polignac number, because 831421305 - 21 = 831421303 is a prime.

It is a super-2 number, since 2×8314213052 = 1382522772815806050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (831421303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301071 + ... + 303819.

It is an arithmetic number, because the mean of its divisors is an integer number (18018000).

Almost surely, 2831421305 is an apocalyptic number.

It is an amenable number.

831421305 is an abundant number, since it is smaller than the sum of its proper divisors (898306695).

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

831421305 is a wasteful number, since it uses less digits than its factorization.

831421305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 831421305 is about 28834.3771391026. The cubic root of 831421305 is about 940.3157627121.

The spelling of 831421305 in words is "eight hundred thirty-one million, four hundred twenty-one thousand, three hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 47 55 65 99 117 141 143 165 195 235 423 429 495 517 585 611 705 715 1287 1551 1833 2115 2145 2585 2749 3055 4653 5499 6435 6721 7755 8247 9165 13745 20163 23265 24741 27495 30239 33605 35737 41235 60489 90717 100815 107211 123705 129203 151195 178685 272151 302445 321633 387609 393107 453585 536055 646015 1162827 1179321 1360755 1421233 1608165 1679639 1938045 1965535 3537963 4263699 5038917 5814135 5896605 7106165 8398195 12791097 15116751 17689815 18476029 21318495 25194585 55428087 63955485 75583755 92380145 166284261 277140435 831421305