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8742386450 = 2527218892
BaseRepresentation
bin10000010010001011…
…00011101100010010
3211120021100020122202
420021011203230102
5120401022331300
64003255403202
7426434026100
oct101105435422
924507306582
108742386450
113786938376
12183b983502
13a942a3345
145cd116c70
15362791ad5
hex209163b12

8742386450 has 54 divisors (see below), whose sum is σ = 18925688511. Its totient is φ = 2995802880.

The previous prime is 8742386437. The next prime is 8742386453. The reversal of 8742386450 is 546832478.

It can be written as a sum of positive squares in 5 ways, for example, as 2994168961 + 5748217489 = 54719^2 + 75817^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=66115.

It is a super-2 number, since 2×87423864502 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8742386395 and 8742386404.

It is not an unprimeable number, because it can be changed into a prime (8742386453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4627106 + ... + 4628994.

Almost surely, 28742386450 is an apocalyptic number.

8742386450 is an abundant number, since it is smaller than the sum of its proper divisors (10183302061).

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

8742386450 is an equidigital number, since it uses as much as digits as its factorization.

8742386450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The square root of 8742386450 is about 93500.7296762972. The cubic root of 8742386450 is about 2060.0448076784.

The spelling of 8742386450 in words is "eight billion, seven hundred forty-two million, three hundred eighty-six thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 1889 2450 3778 9445 13223 18890 26446 47225 66115 92561 94450 132230 185122 330575 462805 661150 925610 2314025 3568321 4628050 7136642 17841605 24978247 35683210 49956494 89208025 124891235 174847729 178416050 249782470 349695458 624456175 874238645 1248912350 1748477290 4371193225 8742386450