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54314848 = 257435639
BaseRepresentation
bin1100111100110…
…0011101100000
310210012110222001
43033030131200
5102401033343
65220053344
71226445220
oct317143540
9123173861
1054314848
1128728605
1216234254
13b339383
1472dc080
154b7d44d
hex33cc760

54314848 has 48 divisors (see below), whose sum is σ = 125072640. Its totient is φ = 22732416.

The previous prime is 54314837. The next prime is 54314849. The reversal of 54314848 is 84841345.

54314848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×543148483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54314849) 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 7 ways as a sum of consecutive naturals, for example, 6813 + ... + 12451.

It is an arithmetic number, because the mean of its divisors is an integer number (2605680).

Almost surely, 254314848 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 54314848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62536320).

54314848 is an abundant number, since it is smaller than the sum of its proper divisors (70757792).

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

54314848 is a wasteful number, since it uses less digits than its factorization.

54314848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5691 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 54314848 is about 7369.8607856594. The cubic root of 54314848 is about 378.7094911782.

The spelling of 54314848 in words is "fifty-four million, three hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 5639 9632 11278 22556 39473 45112 78946 90224 157892 180448 242477 315784 484954 631568 969908 1263136 1697339 1939816 3394678 3879632 6789356 7759264 13578712 27157424 54314848