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421056216 = 233272235189
BaseRepresentation
bin11001000110001…
…100111011011000
31002100021212112200
4121012030323120
51330242244331
6105440410200
713301630100
oct3106147330
91070255480
10421056216
111a6747849
12b9016960
13693046b9
143dcc6200
1526e725e6
hex1918ced8

421056216 has 144 divisors (see below), whose sum is σ = 1384484400. Its totient is φ = 115049088.

The previous prime is 421056157. The next prime is 421056217. The reversal of 421056216 is 612650124.

It is a self number, because there is not a number n which added to its sum of digits gives 421056216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421056217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78550 + ... + 83738.

It is an arithmetic number, because the mean of its divisors is an integer number (9614475).

Almost surely, 2421056216 is an apocalyptic number.

421056216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421056216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692242200).

421056216 is an abundant number, since it is smaller than the sum of its proper divisors (963428184).

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

421056216 is a wasteful number, since it uses less digits than its factorization.

421056216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5224 counting only the distinct ones).

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

The square root of 421056216 is about 20519.6543830543. The cubic root of 421056216 is about 749.5144804288.

The spelling of 421056216 in words is "four hundred twenty-one million, fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5189 5796 6762 9016 10143 10378 11592 13524 15567 20286 20756 27048 31134 36323 40572 41512 46701 62268 72646 81144 93402 108969 119347 124536 145292 186804 217938 238694 254261 290584 326907 358041 373608 435876 477388 508522 653814 716082 762783 835429 871752 954776 1017044 1074123 1307628 1432164 1525566 1670858 2034088 2148246 2288349 2506287 2615256 2864328 3051132 3341716 4296492 4576698 5012574 5848003 6102264 6683432 7518861 8592984 9153396 10025148 11696006 15037722 17544009 18306792 20050296 23392012 30075444 35088018 46784024 52632027 60150888 70176036 105264054 140352072 210528108 421056216