Search a number
-
+
45403381 is a prime number
BaseRepresentation
bin1010110100110…
…0110011110101
310011102201201201
42231030303311
543110402011
64301052501
71060631242
oct255146365
9104381651
1045403381
11236a1261
1213257131
13953910a
14605c5c9
153ebccc1
hex2b4ccf5

45403381 has 2 divisors, whose sum is σ = 45403382. Its totient is φ = 45403380.

The previous prime is 45403367. The next prime is 45403387. The reversal of 45403381 is 18330454.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37332100 + 8071281 = 6110^2 + 2841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45403381 is a prime.

It is a super-2 number, since 2×454033812 = 4122934012462322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45403387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22701690 + 22701691.

It is an arithmetic number, because the mean of its divisors is an integer number (22701691).

Almost surely, 245403381 is an apocalyptic number.

It is an amenable number.

45403381 is a deficient number, since it is larger than the sum of its proper divisors (1).

45403381 is an equidigital number, since it uses as much as digits as its factorization.

45403381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45403381 is about 6738.2030987497. The cubic root of 45403381 is about 356.7489728628.

It can be divided in two parts, 4540 and 3381, that added together give a square (7921 = 892).

The spelling of 45403381 in words is "forty-five million, four hundred three thousand, three hundred eighty-one".