Search a number
-
+
421984212 = 223132251829
BaseRepresentation
bin11001001001101…
…111011111010100
31002102001000111220
4121021233133110
51331011443322
6105512330340
713312543446
oct3111573724
91072030456
10421984212
111a7220a91
12b93a39b0
136956ac00
1440088496
15270a755c
hex1926f7d4

421984212 has 72 divisors (see below), whose sum is σ = 1071735840. Its totient is φ = 129168000.

The previous prime is 421984181. The next prime is 421984231. The reversal of 421984212 is 212489124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508614 + ... + 509442.

It is an arithmetic number, because the mean of its divisors is an integer number (14885220).

Almost surely, 2421984212 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 421984212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535867920).

421984212 is an abundant number, since it is smaller than the sum of its proper divisors (649751628).

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

421984212 is a wasteful number, since it uses less digits than its factorization.

421984212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1098 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 421984212 is about 20542.2543066724. The cubic root of 421984212 is about 750.0647126384.

The spelling of 421984212 in words is "four hundred twenty-one million, nine hundred eighty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 251 338 502 507 676 753 829 1004 1014 1506 1658 2028 2487 3012 3263 3316 4974 6526 9789 9948 10777 13052 19578 21554 32331 39156 42419 43108 64662 84838 127257 129324 140101 169676 208079 254514 280202 416158 420303 509028 560404 624237 832316 840606 1248474 1681212 2496948 2705027 5410054 8115081 10820108 16230162 32460324 35165351 70330702 105496053 140661404 210992106 421984212