Search a number
-
+
54887301 = 347213829
BaseRepresentation
bin1101000101100…
…0001110000101
310211021120020000
43101120032011
5103022343201
65240231513
71234351200
oct321301605
9124246200
1054887301
1128a89707
121646b599
13b4a9ac1
14740a937
154c42d86
hex3458385

54887301 has 30 divisors (see below), whose sum is σ = 95385510. Its totient is φ = 31361904.

The previous prime is 54887263. The next prime is 54887303. The reversal of 54887301 is 10378845.

54887301 is a `hidden beast` number, since 548 + 87 + 30 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38118276 + 16769025 = 6174^2 + 4095^2 .

It is not a de Polignac number, because 54887301 - 211 = 54885253 is a prime.

It is a super-2 number, since 2×548873012 = 6025231622129202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54887303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2946 + ... + 10883.

It is an arithmetic number, because the mean of its divisors is an integer number (3179517).

Almost surely, 254887301 is an apocalyptic number.

It is an amenable number.

54887301 is a deficient number, since it is larger than the sum of its proper divisors (40498209).

54887301 is a wasteful number, since it uses less digits than its factorization.

54887301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 54887301 is about 7408.5964257746. The cubic root of 54887301 is about 380.0353175854.

The spelling of 54887301 in words is "fifty-four million, eight hundred eighty-seven thousand, three hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 13829 41487 96803 124461 290409 373383 677621 871227 1120149 2032863 2613681 6098589 7841043 18295767 54887301