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54144461 = 7223107449
BaseRepresentation
bin1100111010001…
…0110111001101
310202212211020102
43032202313031
5102330110321
65212300445
71225135400
oct316426715
9122784212
1054144461
1128621598
1216171725
13b2a9957
147295d37
154b47c0b
hex33a2dcd

54144461 has 24 divisors (see below), whose sum is σ = 66484800. Its totient is φ = 43878912.

The previous prime is 54144449. The next prime is 54144463. The reversal of 54144461 is 16444145.

It is not a de Polignac number, because 54144461 - 26 = 54144397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54144463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120365 + ... + 120813.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 254144461 is an apocalyptic number.

It is an amenable number.

54144461 is a deficient number, since it is larger than the sum of its proper divisors (12340339).

54144461 is a wasteful number, since it uses less digits than its factorization.

54144461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 54144461 is about 7358.2919893138. The cubic root of 54144461 is about 378.3130693971.

The spelling of 54144461 in words is "fifty-four million, one hundred forty-four thousand, four hundred sixty-one".

Divisors: 1 7 23 49 107 161 449 749 1127 2461 3143 5243 10327 17227 22001 48043 72289 120589 336301 506023 1104989 2354107 7734923 54144461