Search a number
-
+
37922429 is a prime number
BaseRepresentation
bin1001000010101…
…0011001111101
32122100122210102
42100222121331
534202004204
63432450445
7640223006
oct220523175
978318712
1037922429
111a451756
1210849a25
137b1a00c
1450721ad
1534e141e
hex242a67d

37922429 has 2 divisors, whose sum is σ = 37922430. Its totient is φ = 37922428.

The previous prime is 37922413. The next prime is 37922471. The reversal of 37922429 is 92422973.

37922429 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., 33616804 + 4305625 = 5798^2 + 2075^2 .

It is a cyclic number.

It is not a de Polignac number, because 37922429 - 24 = 37922413 is a prime.

It is a super-2 number, since 2×379224292 = 2876221242520082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37922392 and 37922401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37922029) 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, 18961214 + 18961215.

It is an arithmetic number, because the mean of its divisors is an integer number (18961215).

Almost surely, 237922429 is an apocalyptic number.

It is an amenable number.

37922429 is a deficient number, since it is larger than the sum of its proper divisors (1).

37922429 is an equidigital number, since it uses as much as digits as its factorization.

37922429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 38.

The square root of 37922429 is about 6158.1189498093. The cubic root of 37922429 is about 335.9686201089.

The spelling of 37922429 in words is "thirty-seven million, nine hundred twenty-two thousand, four hundred twenty-nine".