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428609241 = 32296126921
BaseRepresentation
bin11001100011000…
…000111011011001
31002212111121100100
4121203000323121
51334210443431
6110310330013
713423055424
oct3143007331
91085447310
10428609241
111aaa36515
12bb659909
136aa4a548
1440cd09bb
15279654e6
hex198c0ed9

428609241 has 24 divisors (see below), whose sum is σ = 650973960. Its totient is φ = 271353600.

The previous prime is 428609213. The next prime is 428609249. The reversal of 428609241 is 142906824.

428609241 is a `hidden beast` number, since 4 + 2 + 8 + 609 + 2 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86211225 + 342398016 = 9285^2 + 18504^2 .

It is not a de Polignac number, because 428609241 - 26 = 428609177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428609196 and 428609205.

It is not an unprimeable number, because it can be changed into a prime (428609249) 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, 2461 + ... + 29381.

It is an arithmetic number, because the mean of its divisors is an integer number (27123915).

Almost surely, 2428609241 is an apocalyptic number.

It is an amenable number.

428609241 is a deficient number, since it is larger than the sum of its proper divisors (222364719).

428609241 is a wasteful number, since it uses less digits than its factorization.

428609241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27017 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428609241 is about 20702.8800170411. The cubic root of 428609241 is about 753.9696138200.

The spelling of 428609241 in words is "four hundred twenty-eight million, six hundred nine thousand, two hundred forty-one".

Divisors: 1 3 9 29 61 87 183 261 549 1769 5307 15921 26921 80763 242289 780709 1642181 2342127 4926543 7026381 14779629 47623249 142869747 428609241