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42307577 = 1317211261
BaseRepresentation
bin1010000101100…
…0111111111001
32221121110002022
42201120333321
541312320302
64110444225
71022415464
oct241307771
987543068
1042307577
1121977344
1212203675
1389c3c90
1458942db
153aaa8a2
hex2858ff9

42307577 has 12 divisors (see below), whose sum is σ = 48404076. Its totient is φ = 36752640.

The previous prime is 42307537. The next prime is 42307583. The reversal of 42307577 is 77570324.

It can be written as a sum of positive squares in 6 ways, for example, as 7862416 + 34445161 = 2804^2 + 5869^2 .

It is a de Polignac number, because none of the positive numbers 2k-42307577 is a prime.

It is a super-2 number, since 2×423075772 = 3579862143221858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42307537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1874 + ... + 9387.

It is an arithmetic number, because the mean of its divisors is an integer number (4033673).

Almost surely, 242307577 is an apocalyptic number.

It is an amenable number.

42307577 is a deficient number, since it is larger than the sum of its proper divisors (6096499).

42307577 is a wasteful number, since it uses less digits than its factorization.

42307577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 42307577 is about 6504.4274921011. The cubic root of 42307577 is about 348.4491299931.

The spelling of 42307577 in words is "forty-two million, three hundred seven thousand, five hundred seventy-seven".

Divisors: 1 13 17 221 289 3757 11261 146393 191437 2488681 3254429 42307577