Search a number
-
+
421155216 = 243219592609
BaseRepresentation
bin11001000110100…
…101000110010000
31002100110220100100
4121012211012100
51330303431331
6105442452400
713302521526
oct3106450620
91070426310
10421155216
111a6805169
12b9064100
136933a791
143dd10316
1526e91ae6
hex191a5190

421155216 has 120 divisors (see below), whose sum is σ = 1262196000. Its totient is φ = 130692096.

The previous prime is 421155199. The next prime is 421155221. The reversal of 421155216 is 612551124.

It is a self number, because there is not a number n which added to its sum of digits gives 421155216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160120 + ... + 162728.

It is an arithmetic number, because the mean of its divisors is an integer number (10518300).

Almost surely, 2421155216 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 421155216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631098000).

421155216 is an abundant number, since it is smaller than the sum of its proper divisors (841040784).

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

421155216 is a wasteful number, since it uses less digits than its factorization.

421155216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2692 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 421155216 is about 20522.0665626052. The cubic root of 421155216 is about 749.5732185228.

The spelling of 421155216 in words is "four hundred twenty-one million, one hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 59 72 76 114 118 144 152 171 177 228 236 304 342 354 456 472 531 684 708 912 944 1062 1121 1368 1416 2124 2242 2609 2736 2832 3363 4248 4484 5218 6726 7827 8496 8968 10089 10436 13452 15654 17936 20178 20872 23481 26904 31308 40356 41744 46962 49571 53808 62616 80712 93924 99142 125232 148713 153931 161424 187848 198284 297426 307862 375696 396568 446139 461793 594852 615724 793136 892278 923586 1189704 1231448 1385379 1784556 1847172 2379408 2462896 2770758 2924689 3569112 3694344 5541516 5849378 7138224 7388688 8774067 11083032 11698756 17548134 22166064 23397512 26322201 35096268 46795024 52644402 70192536 105288804 140385072 210577608 421155216