Search a number
-
+
55032829 is a prime number
BaseRepresentation
bin1101000111101…
…1101111111101
310211112221211221
43101323233331
5103042022304
65243313341
71235525365
oct321735775
9124487757
1055032829
1129078a85
121651b851
13b52b107
1474479a5
154c71054
hex347bbfd

55032829 has 2 divisors, whose sum is σ = 55032830. Its totient is φ = 55032828.

The previous prime is 55032823. The next prime is 55032841. The reversal of 55032829 is 92823055.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44156025 + 10876804 = 6645^2 + 3298^2 .

It is a cyclic number.

It is not a de Polignac number, because 55032829 - 217 = 54901757 is a prime.

It is a super-2 number, since 2×550328292 = 6057224535486482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55032794 and 55032803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55032823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27516414 + 27516415.

It is an arithmetic number, because the mean of its divisors is an integer number (27516415).

Almost surely, 255032829 is an apocalyptic number.

It is an amenable number.

55032829 is a deficient number, since it is larger than the sum of its proper divisors (1).

55032829 is an equidigital number, since it uses as much as digits as its factorization.

55032829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 55032829 is about 7418.4114876434. The cubic root of 55032829 is about 380.3708959516.

The spelling of 55032829 in words is "fifty-five million, thirty-two thousand, eight hundred twenty-nine".