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428571432 = 23331092167
BaseRepresentation
bin11001100010110…
…111101100101000
31002212102200111000
4121202313230220
51334203241212
6110305435000
713422540252
oct3142675450
91085380430
10428571432
111aaa10073
12bb63ba60
136aa36283
1440cc0cd2
15279591dc
hex198b7b28

428571432 has 96 divisors (see below), whose sum is σ = 1208692800. Its totient is φ = 140698944.

The previous prime is 428571431. The next prime is 428571433. The reversal of 428571432 is 234175824.

It is a happy number.

428571432 is a `hidden beast` number, since 42 + 8 + 571 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (428571431) and next prime (428571433).

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 (428571431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2566213 + ... + 2566379.

It is an arithmetic number, because the mean of its divisors is an integer number (12590550).

Almost surely, 2428571432 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 428571432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604346400).

428571432 is an abundant number, since it is smaller than the sum of its proper divisors (780121368).

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

428571432 is a wasteful number, since it uses less digits than its factorization.

428571432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 281 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 428571432 is about 20701.9668630785. The cubic root of 428571432 is about 753.9474431397.

The spelling of 428571432 in words is "four hundred twenty-eight million, five hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 167 216 218 327 334 436 501 654 668 872 981 1002 1308 1336 1503 1962 2004 2616 2943 3006 3924 4008 4509 5886 6012 7848 9018 11772 11881 12024 18036 18203 23544 23762 35643 36072 36406 47524 54609 71286 72812 95048 106929 109218 142572 145624 163827 213858 218436 285144 320787 327654 427716 436872 491481 641574 655308 855432 982962 1283148 1310616 1965924 1984127 2566296 3931848 3968254 5952381 7936508 11904762 15873016 17857143 23809524 35714286 47619048 53571429 71428572 107142858 142857144 214285716 428571432