Search a number
-
+
54109737 = 32112947401
BaseRepresentation
bin1100111001101…
…0011000101001
310202211001121100
43032122120221
5102323002422
65211432013
71224632223
oct316323051
9122731540
1054109737
11285a84a0
1216155609
13b296bc6
147287413
154b3c7ac
hex339a629

54109737 has 48 divisors (see below), whose sum is σ = 90305280. Its totient is φ = 30912000.

The previous prime is 54109721. The next prime is 54109751. The reversal of 54109737 is 73790145.

It is a happy number.

54109737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54109737 - 24 = 54109721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54109637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134737 + ... + 135137.

It is an arithmetic number, because the mean of its divisors is an integer number (1881360).

Almost surely, 254109737 is an apocalyptic number.

It is an amenable number.

54109737 is a deficient number, since it is larger than the sum of its proper divisors (36195543).

54109737 is a wasteful number, since it uses less digits than its factorization.

54109737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 54109737 is about 7355.9320959345. The cubic root of 54109737 is about 378.2321786834.

The spelling of 54109737 in words is "fifty-four million, one hundred nine thousand, seven hundred thirty-seven".

Divisors: 1 3 9 11 29 33 47 87 99 141 261 319 401 423 517 957 1203 1363 1551 2871 3609 4089 4411 4653 11629 12267 13233 14993 18847 34887 39699 44979 56541 104661 127919 134937 169623 207317 383757 546563 621951 1151271 1639689 1865853 4919067 6012193 18036579 54109737