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39075001 = 72192472
BaseRepresentation
bin1001010100001…
…1110010111001
32201112012211021
42111003302321
540000400001
63513302441
7653063200
oct225036271
981465737
1039075001
1120069699
1211104a21
138131804
145292237
15366cba1
hex2543cb9

39075001 has 27 divisors (see below), whose sum is σ = 49015269. Its totient is φ = 31054968.

The previous prime is 39074983. The next prime is 39075019. The reversal of 39075001 is 10057093.

The square root of 39075001 is 6251.

It is a perfect power (a square), and thus also a powerful number.

39075001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39074983) and next prime (39075019).

It is not a de Polignac number, because 39075001 - 25 = 39074969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39075031) 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, 831360 + ... + 831406.

Almost surely, 239075001 is an apocalyptic number.

39075001 is the 6251-st square number.

39075001 is the 3126-th centered octagonal number.

It is an amenable number.

39075001 is a deficient number, since it is larger than the sum of its proper divisors (9940268).

39075001 is an equidigital number, since it uses as much as digits as its factorization.

39075001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The cubic root of 39075001 is about 339.3383933442.

Multiplying 39075001 by its sum of digits (25), we get a square (976875025 = 312552).

The spelling of 39075001 in words is "thirty-nine million, seventy-five thousand, one".

Divisors: 1 7 19 47 49 133 329 361 893 931 2209 2303 2527 6251 15463 16967 17689 41971 43757 108241 118769 293797 797449 831383 2056579 5582143 39075001