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427742625 = 3535919333
BaseRepresentation
bin11001011111101…
…101010110100001
31002210212120120110
4121133231112201
51334000231000
6110240001533
713412516022
oct3137552641
91083776513
10427742625
111aa4a4402
12bb3002a9
136a805c5b
1440b46c49
1527843850
hex197ed5a1

427742625 has 32 divisors (see below), whose sum is σ = 723864960. Its totient is φ = 224251200.

The previous prime is 427742621. The next prime is 427742647. The reversal of 427742625 is 526247724.

It is a happy number.

It is not a de Polignac number, because 427742625 - 22 = 427742621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427742621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12459 + ... + 31791.

It is an arithmetic number, because the mean of its divisors is an integer number (22620780).

Almost surely, 2427742625 is an apocalyptic number.

It is an amenable number.

427742625 is a deficient number, since it is larger than the sum of its proper divisors (296122335).

427742625 is a wasteful number, since it uses less digits than its factorization.

427742625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19410 (or 19400 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 427742625 is about 20681.9395850583. The cubic root of 427742625 is about 753.4611141265.

The spelling of 427742625 in words is "four hundred twenty-seven million, seven hundred forty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 59 75 125 177 295 375 885 1475 4425 7375 19333 22125 57999 96665 289995 483325 1140647 1449975 2416625 3421941 5703235 7249875 17109705 28516175 85548525 142580875 427742625