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54137033 is a prime number
BaseRepresentation
bin1100111010000…
…1000011001001
310202212110001022
43032201003021
5102324341113
65212202225
71225104626
oct316410311
9122773038
1054137033
1128616a55
1216169375
13b2a6462
14729334d
154b45908
hex33a10c9

54137033 has 2 divisors, whose sum is σ = 54137034. Its totient is φ = 54137032.

The previous prime is 54137029. The next prime is 54137047. The reversal of 54137033 is 33073145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51437584 + 2699449 = 7172^2 + 1643^2 .

It is a cyclic number.

It is not a de Polignac number, because 54137033 - 22 = 54137029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54136993 and 54137011.

It is not a weakly prime, because it can be changed into another prime (54137053) 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 as a sum of consecutive naturals, namely, 27068516 + 27068517.

It is an arithmetic number, because the mean of its divisors is an integer number (27068517).

Almost surely, 254137033 is an apocalyptic number.

It is an amenable number.

54137033 is a deficient number, since it is larger than the sum of its proper divisors (1).

54137033 is an equidigital number, since it uses as much as digits as its factorization.

54137033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 54137033 is about 7357.7872353038. The cubic root of 54137033 is about 378.2957685323.

The spelling of 54137033 in words is "fifty-four million, one hundred thirty-seven thousand, thirty-three".