Search a number
-
+
54407493 = 3272123373
BaseRepresentation
bin1100111110001…
…1000101000101
310210101012001100
43033203011011
5102412014433
65222050313
71230312300
oct317430505
9123335040
1054407493
1128791178
1216279999
13b36c5aa
147323b37
154b9ab13
hex33e3145

54407493 has 18 divisors (see below), whose sum is σ = 91420134. Its totient is φ = 31089744.

The previous prime is 54407473. The next prime is 54407543. The reversal of 54407493 is 39470445.

54407493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46009089 + 8398404 = 6783^2 + 2898^2 .

It is not a de Polignac number, because 54407493 - 28 = 54407237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54407453) 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 in 17 ways as a sum of consecutive naturals, for example, 61246 + ... + 62127.

Almost surely, 254407493 is an apocalyptic number.

It is an amenable number.

54407493 is a deficient number, since it is larger than the sum of its proper divisors (37012641).

54407493 is a wasteful number, since it uses less digits than its factorization.

54407493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123393 (or 123383 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54407493 is about 7376.1435045693. The cubic root of 54407493 is about 378.9246908426.

The spelling of 54407493 in words is "fifty-four million, four hundred seven thousand, four hundred ninety-three".

Divisors: 1 3 7 9 21 49 63 147 441 123373 370119 863611 1110357 2590833 6045277 7772499 18135831 54407493