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424770642 = 2343118431
BaseRepresentation
bin11001010100010…
…111110001010010
31002121021120210000
4121110113301102
51332220130032
6110052150430
713345330242
oct3124276122
91077246700
10424770642
111a885451a
12ba308416
136a00529a
14405b1b22
1527457e7c
hex19517c52

424770642 has 40 divisors (see below), whose sum is σ = 954974592. Its totient is φ = 141118200.

The previous prime is 424770617. The next prime is 424770659. The reversal of 424770642 is 246077424.

It is a happy number.

424770642 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 7 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424770597 and 424770606.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46167 + ... + 54597.

Almost surely, 2424770642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424770642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477487296).

424770642 is an abundant number, since it is smaller than the sum of its proper divisors (530203950).

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

424770642 is a wasteful number, since it uses less digits than its factorization.

424770642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 424770642 is about 20609.9646287906. The cubic root of 424770642 is about 751.7120249870.

The spelling of 424770642 in words is "four hundred twenty-four million, seven hundred seventy thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 311 622 933 1866 2799 5598 8397 8431 16794 16862 25191 25293 50382 50586 75879 151758 227637 455274 682911 1365822 2622041 5244082 7866123 15732246 23598369 47196738 70795107 141590214 212385321 424770642