Search a number
-
+
54989780 = 22523173691
BaseRepresentation
bin1101000111000…
…1001111010100
310211110202210112
43101301033110
5103034133110
65242342152
71235256026
oct321611724
9124422715
1054989780
11290496aa
12164ba958
13b514641
147436016
154c63405
hex34713d4

54989780 has 48 divisors (see below), whose sum is σ = 121371264. Its totient is φ = 20887680.

The previous prime is 54989777. The next prime is 54989801. The reversal of 54989780 is 8798945.

54989780 = T1 + T2 + ... + T690.

54989780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

54989780 is a nontrivial binomial coefficient, being equal to C(692, 3).

It is a congruent number.

It is an unprimeable number.

It is the 690-th tetrahedral number.

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 15 ways as a sum of consecutive naturals, for example, 79235 + ... + 79925.

It is an arithmetic number, because the mean of its divisors is an integer number (2528568).

Almost surely, 254989780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54989780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60685632).

54989780 is an abundant number, since it is smaller than the sum of its proper divisors (66381484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54989780 is a wasteful number, since it uses less digits than its factorization.

54989780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 54989780 is about 7415.5094228246. The cubic root of 54989780 is about 380.2716893599.

The spelling of 54989780 in words is "fifty-four million, nine hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 173 230 346 460 691 692 865 1382 1730 2764 3455 3460 3979 6910 7958 13820 15893 15916 19895 31786 39790 63572 79465 79580 119543 158930 239086 317860 478172 597715 1195430 2390860 2749489 5498978 10997956 13747445 27494890 54989780