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54000949 is a prime number
BaseRepresentation
bin1100110111111…
…1110100110101
310202121112101011
43031333310311
5102311012244
65205232221
71224000112
oct315776465
9122545334
1054000949
1128533792
1216102671
13b259532
147259909
154b1a434
hex337fd35

54000949 has 2 divisors, whose sum is σ = 54000950. Its totient is φ = 54000948.

The previous prime is 54000937. The next prime is 54000971. The reversal of 54000949 is 94900045.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31438449 + 22562500 = 5607^2 + 4750^2 .

It is a cyclic number.

It is not a de Polignac number, because 54000949 - 25 = 54000917 is a prime.

It is a super-2 number, since 2×540009492 = 5832204985801202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54000949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54001949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27000474 + 27000475.

It is an arithmetic number, because the mean of its divisors is an integer number (27000475).

Almost surely, 254000949 is an apocalyptic number.

It is an amenable number.

54000949 is a deficient number, since it is larger than the sum of its proper divisors (1).

54000949 is an equidigital number, since it uses as much as digits as its factorization.

54000949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 54000949 is about 7348.5337993371. The cubic root of 54000949 is about 377.9785291501.

The spelling of 54000949 in words is "fifty-four million, nine hundred forty-nine", and thus it is an aban number.