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42443625 = 3537192337
BaseRepresentation
bin1010000111101…
…0001101101001
32221212100201010
42201322031221
541331144000
64113414133
71023523230
oct241721551
987770633
1042443625
1121a5a584
121226a349
138a40b93
1458cbb17
153ad5d50
hex287a369

42443625 has 128 divisors (see below), whose sum is σ = 91054080. Its totient is φ = 17107200.

The previous prime is 42443603. The next prime is 42443633. The reversal of 42443625 is 52634424.

42443625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42443625 - 26 = 42443561 is a prime.

It is a super-2 number, since 2×424436252 = 3602922606281250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42443592 and 42443601.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1147107 + ... + 1147143.

It is an arithmetic number, because the mean of its divisors is an integer number (711360).

Almost surely, 242443625 is an apocalyptic number.

It is an amenable number.

42443625 is an abundant number, since it is smaller than the sum of its proper divisors (48610455).

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

42443625 is a wasteful number, since it uses less digits than its factorization.

42443625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 42443625 is about 6514.8772052894. The cubic root of 42443625 is about 348.8222316696.

The spelling of 42443625 in words is "forty-two million, four hundred forty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 23 25 35 37 57 69 75 95 105 111 115 125 133 161 175 185 259 285 345 375 399 437 475 483 525 555 575 665 703 777 805 851 875 925 1295 1311 1425 1725 1995 2109 2185 2375 2415 2553 2625 2775 2875 3059 3325 3515 3885 4025 4255 4625 4921 5957 6475 6555 7125 8625 9177 9975 10545 10925 12075 12765 13875 14763 15295 16169 16625 17575 17871 19425 20125 21275 24605 29785 32375 32775 45885 48507 49875 52725 54625 60375 63825 73815 76475 80845 87875 89355 97125 106375 113183 123025 148925 163875 229425 242535 263625 319125 339549 369075 382375 404225 446775 565915 615125 744625 1147125 1212675 1697745 1845375 2021125 2233875 2829575 6063375 8488725 14147875 42443625