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42689629 is a prime number
BaseRepresentation
bin1010001011011…
…0010001011101
32222022212011101
42202312101131
541412032004
64122553101
71025566363
oct242662135
988285141
1042689629
1122108394
1212368791
138ac8b48
145953633
153b33ba4
hex28b645d

42689629 has 2 divisors, whose sum is σ = 42689630. Its totient is φ = 42689628.

The previous prime is 42689623. The next prime is 42689657. The reversal of 42689629 is 92698624.

42689629 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., 35940025 + 6749604 = 5995^2 + 2598^2 .

It is a cyclic number.

It is not a de Polignac number, because 42689629 - 219 = 42165341 is a prime.

It is a super-3 number, since 3×426896293 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42689623) 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, 21344814 + 21344815.

It is an arithmetic number, because the mean of its divisors is an integer number (21344815).

Almost surely, 242689629 is an apocalyptic number.

It is an amenable number.

42689629 is a deficient number, since it is larger than the sum of its proper divisors (1).

42689629 is an equidigital number, since it uses as much as digits as its factorization.

42689629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 46.

The square root of 42689629 is about 6533.7300984966. The cubic root of 42689629 is about 349.4948604207.

The spelling of 42689629 in words is "forty-two million, six hundred eighty-nine thousand, six hundred twenty-nine".