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428307912 = 23362712
BaseRepresentation
bin11001100001110…
…111010111001000
31002211221022000000
4121201313113020
51334121323122
6110300043000
713420362054
oct3141672710
91084838000
10428307912
111aa85008a
12bb533460
136a973346
1440c52c64
15279060ac
hex198775c8

428307912 has 84 divisors (see below), whose sum is σ = 1208524635. Its totient is φ = 142242480.

The previous prime is 428307883. The next prime is 428307917. The reversal of 428307912 is 219703824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 214153956 + 214153956 = 14634^2 + 14634^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14634.

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

It is not an unprimeable number, because it can be changed into a prime (428307917) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1580337 + ... + 1580607.

Almost surely, 2428307912 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 428307912

428307912 is an abundant number, since it is smaller than the sum of its proper divisors (780216723).

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

428307912 is an frugal number, since it uses more digits than its factorization.

428307912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 428307912 is about 20695.6012717679. The cubic root of 428307912 is about 753.7928823899.

The spelling of 428307912 in words is "four hundred twenty-eight million, three hundred seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 271 324 486 542 648 729 813 972 1084 1458 1626 1944 2168 2439 2916 3252 4878 5832 6504 7317 9756 14634 19512 21951 29268 43902 58536 65853 73441 87804 131706 146882 175608 197559 220323 263412 293764 395118 440646 526824 587528 660969 790236 881292 1321938 1580472 1762584 1982907 2643876 3965814 5287752 5948721 7931628 11897442 15863256 17846163 23794884 35692326 47589768 53538489 71384652 107076978 142769304 214153956 428307912