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428212359 = 3337499859
BaseRepresentation
bin11001100001100…
…000000010000111
31002211202102221000
4121201200002013
51334110243414
6110254024343
713416513351
oct3141400207
91084672830
10428212359
111aa795313
12bb4a80b3
136a93b9c3
1440c2a0d1
15278d7b09
hex19860087

428212359 has 32 divisors (see below), whose sum is σ = 653600000. Its totient is φ = 276880032.

The previous prime is 428212349. The next prime is 428212363. The reversal of 428212359 is 953212824.

It is a happy number.

It is not a de Polignac number, because 428212359 - 25 = 428212327 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428212349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498072 + ... + 498930.

It is an arithmetic number, because the mean of its divisors is an integer number (20425000).

Almost surely, 2428212359 is an apocalyptic number.

428212359 is a deficient number, since it is larger than the sum of its proper divisors (225387641).

428212359 is a wasteful number, since it uses less digits than its factorization.

428212359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 428212359 is about 20693.2926089591. The cubic root of 428212359 is about 753.7368226205.

It can be divided in two parts, 4282 and 12359, that added together give a square (16641 = 1292).

The spelling of 428212359 in words is "four hundred twenty-eight million, two hundred twelve thousand, three hundred fifty-nine".

Divisors: 1 3 9 27 37 111 333 499 859 999 1497 2577 4491 7731 13473 18463 23193 31783 55389 95349 166167 286047 428641 498501 858141 1285923 3857769 11573307 15859717 47579151 142737453 428212359