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421872624 = 24342314153
BaseRepresentation
bin11001001001010…
…100001111110000
31002101211100110000
4121021110033300
51330444410444
6105510110000
713311600225
oct3111241760
91071740400
10421872624
111a7155168
12b934b300
136952c194
144005994c
1527084469
hex192543f0

421872624 has 100 divisors (see below), whose sum is σ = 1274199696. Its totient is φ = 134500608.

The previous prime is 421872617. The next prime is 421872673. The reversal of 421872624 is 426278124.

421872624 is a `hidden beast` number, since 4 + 21 + 8 + 7 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22732 + ... + 36884.

Almost surely, 2421872624 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 421872624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637099848).

421872624 is an abundant number, since it is smaller than the sum of its proper divisors (852327072).

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

421872624 is a wasteful number, since it uses less digits than its factorization.

421872624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14181 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 421872624 is about 20539.5380668602. The cubic root of 421872624 is about 749.9985919974.

The spelling of 421872624 in words is "four hundred twenty-one million, eight hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14153 14904 28306 29808 42459 56612 84918 113224 127377 169836 226448 254754 325519 339672 382131 509508 651038 679344 764262 976557 1019016 1146393 1302076 1528524 1953114 2038032 2292786 2604152 2929671 3057048 3906228 4585572 5208304 5859342 6114096 7812456 8789013 9171144 11718684 15624912 17578026 18342288 23437368 26367039 35156052 46874736 52734078 70312104 105468156 140624208 210936312 421872624