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54972441 = 3217359297
BaseRepresentation
bin1101000110110…
…1000000011001
310211102220000100
43101231000121
5103033104231
65242130013
71235154336
oct321550031
9124386010
1054972441
1129037677
12164b0909
13b509794
14742d98d
154c5d1e6
hex346d019

54972441 has 12 divisors (see below), whose sum is σ = 84075732. Its totient is φ = 34492416.

The previous prime is 54972433. The next prime is 54972443. The reversal of 54972441 is 14427945.

It is a happy number.

54972441 is a `hidden beast` number, since 549 + 72 + 4 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 20115225 = 5904^2 + 4485^2 .

It is not a de Polignac number, because 54972441 - 23 = 54972433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54972396 and 54972405.

It is not an unprimeable number, because it can be changed into a prime (54972443) 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 11 ways as a sum of consecutive naturals, for example, 179496 + ... + 179801.

It is an arithmetic number, because the mean of its divisors is an integer number (7006311).

Almost surely, 254972441 is an apocalyptic number.

54972441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54972441 is a deficient number, since it is larger than the sum of its proper divisors (29103291).

54972441 is a wasteful number, since it uses less digits than its factorization.

54972441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359320 (or 359317 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54972441 is about 7414.3402268847. The cubic root of 54972441 is about 380.2317169387.

The spelling of 54972441 in words is "fifty-four million, nine hundred seventy-two thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 359297 1077891 3233673 6108049 18324147 54972441