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54383712 = 253412337
BaseRepresentation
bin1100111101110…
…1010001100000
310210022222102120
43033131101200
5102410234322
65221344240
71230153045
oct317352140
9123288376
1054383712
1128775319
1216268080
13b361816
1473191cc
154b93a5c
hex33dd460

54383712 has 72 divisors (see below), whose sum is σ = 146758248. Its totient is φ = 17633280.

The previous prime is 54383711. The next prime is 54383723. The reversal of 54383712 is 21738345.

54383712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54383711) 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 11 ways as a sum of consecutive naturals, for example, 161208 + ... + 161544.

It is an arithmetic number, because the mean of its divisors is an integer number (2038309).

Almost surely, 254383712 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 54383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73379124).

54383712 is an abundant number, since it is smaller than the sum of its proper divisors (92374536).

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

54383712 is a wasteful number, since it uses less digits than its factorization.

54383712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 383 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 54383712 is about 7374.5313071408. The cubic root of 54383712 is about 378.8694746656.

It can be divided in two parts, 543 and 83712, that added together give a triangular number (84255 = T410).

The spelling of 54383712 in words is "fifty-four million, three hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 337 492 656 674 984 1011 1312 1348 1681 1968 2022 2696 3362 3936 4044 5043 5392 6724 8088 10086 10784 13448 13817 16176 20172 26896 27634 32352 40344 41451 53792 55268 80688 82902 110536 161376 165804 221072 331608 442144 566497 663216 1132994 1326432 1699491 2265988 3398982 4531976 6797964 9063952 13595928 18127904 27191856 54383712