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54142461 = 3231434513
BaseRepresentation
bin1100111010001…
…0010111111101
310202212201111100
43032202113331
5102330024321
65212243313
71225126512
oct316422775
9122781440
1054142461
112862003a
1216170539
13b2a8a79
147295309
154b47326
hex33a25fd

54142461 has 24 divisors (see below), whose sum is σ = 82624256. Its totient is φ = 34110720.

The previous prime is 54142453. The next prime is 54142519. The reversal of 54142461 is 16424145.

54142461 is a `hidden beast` number, since 5 + 414 + 246 + 1 = 666.

It is not a de Polignac number, because 54142461 - 23 = 54142453 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54142411) 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, 9741 + ... + 14253.

Almost surely, 254142461 is an apocalyptic number.

It is an amenable number.

54142461 is a deficient number, since it is larger than the sum of its proper divisors (28481795).

54142461 is a wasteful number, since it uses less digits than its factorization.

54142461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4590 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54142461 is about 7358.1560869555. The cubic root of 54142461 is about 378.3084112693.

It can be divided in two parts, 5414 and 2461, that added together give a triangular number (7875 = T125).

The spelling of 54142461 in words is "fifty-four million, one hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 31 43 93 129 279 387 1333 3999 4513 11997 13539 40617 139903 194059 419709 582177 1259127 1746531 6015829 18047487 54142461