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42072377 is a prime number
BaseRepresentation
bin1010000001111…
…1100100111001
32221011111110012
42200133210321
541232304002
64101431305
71020415664
oct240374471
987144405
1042072377
1121826666
121210b535
138940bc9
1458326db
153a60d52
hex281f939

42072377 has 2 divisors, whose sum is σ = 42072378. Its totient is φ = 42072376.

The previous prime is 42072343. The next prime is 42072421. The reversal of 42072377 is 77327024.

42072377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41615401 + 456976 = 6451^2 + 676^2 .

It is a cyclic number.

It is not a de Polignac number, because 42072377 - 210 = 42071353 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42072077) 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 as a sum of consecutive naturals, namely, 21036188 + 21036189.

It is an arithmetic number, because the mean of its divisors is an integer number (21036189).

Almost surely, 242072377 is an apocalyptic number.

It is an amenable number.

42072377 is a deficient number, since it is larger than the sum of its proper divisors (1).

42072377 is an equidigital number, since it uses as much as digits as its factorization.

42072377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 42072377 is about 6486.3223015820. The cubic root of 42072377 is about 347.8022200469.

The spelling of 42072377 in words is "forty-two million, seventy-two thousand, three hundred seventy-seven".