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54638937 = 3241148073
BaseRepresentation
bin1101000001101…
…1100101011001
310210210221112100
43100123211121
5102441421222
65231034013
71232265123
oct320334531
9123727470
1054638937
112892a051
121636b909
13b420a42
147384213
154be44ac
hex341b959

54638937 has 12 divisors (see below), whose sum is σ = 80848404. Its totient is φ = 35537280.

The previous prime is 54638923. The next prime is 54638951. The reversal of 54638937 is 73983645.

54638937 is a `hidden beast` number, since 5 + 4 + 638 + 9 + 3 + 7 = 666.

54638937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54638923) and next prime (54638951).

It can be written as a sum of positive squares in 2 ways, for example, as 3316041 + 51322896 = 1821^2 + 7164^2 .

It is not a de Polignac number, because 54638937 - 26 = 54638873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54638892 and 54638901.

It is not an unprimeable number, because it can be changed into a prime (54638917) 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 11 ways as a sum of consecutive naturals, for example, 73668 + ... + 74405.

It is an arithmetic number, because the mean of its divisors is an integer number (6737367).

Almost surely, 254638937 is an apocalyptic number.

It is an amenable number.

54638937 is a deficient number, since it is larger than the sum of its proper divisors (26209467).

54638937 is a wasteful number, since it uses less digits than its factorization.

54638937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148120 (or 148117 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 54638937 is about 7391.8155415297. The cubic root of 54638937 is about 379.4612332619.

It can be divided in two parts, 5463 and 8937, that added together give a square (14400 = 1202).

The spelling of 54638937 in words is "fifty-four million, six hundred thirty-eight thousand, nine hundred thirty-seven".

Divisors: 1 3 9 41 123 369 148073 444219 1332657 6070993 18212979 54638937