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4142745 = 34553193
BaseRepresentation
bin1111110011011010011001
321210110210000
433303122121
52030031440
6224443213
750132655
oct17633231
97713700
104142745
11237a562
121479509
13b20839
1479ba65
1556c730
hex3f3699

4142745 has 40 divisors (see below), whose sum is σ = 7605576. Its totient is φ = 2156544.

The previous prime is 4142707. The next prime is 4142753. The reversal of 4142745 is 5472414.

It can be written as a sum of positive squares in 4 ways, for example, as 363609 + 3779136 = 603^2 + 1944^2 .

It is not a de Polignac number, because 4142745 - 210 = 4141721 is a prime.

It is a super-2 number, since 2×41427452 = 34324672270050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

4142745 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21369 + ... + 21561.

Almost surely, 24142745 is an apocalyptic number.

4142745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4142745 is a deficient number, since it is larger than the sum of its proper divisors (3462831).

4142745 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4142744) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (263).

4142745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 4142745 is about 2035.3734301106. The cubic root of 4142745 is about 160.6063580136.

The spelling of 4142745 in words is "four million, one hundred forty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 193 265 405 477 579 795 965 1431 1737 2385 2895 4293 5211 7155 8685 10229 15633 21465 26055 30687 51145 78165 92061 153435 276183 460305 828549 1380915 4142745