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54785248 = 2571311867
BaseRepresentation
bin1101000011111…
…1010011100000
310211002101020021
43100333103200
5103011111443
65234123224
71233444520
oct320772340
9124071207
1054785248
1128a19a71
1216420514
13b47250b
1473c1680
154c229ed
hex343f4e0

54785248 has 48 divisors (see below), whose sum is σ = 124274304. Its totient is φ = 23287680.

The previous prime is 54785239. The next prime is 54785257. The reversal of 54785248 is 84258745.

It is a happy number.

54785248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54785239) and next prime (54785257).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 28411 + ... + 30277.

It is an arithmetic number, because the mean of its divisors is an integer number (2589048).

Almost surely, 254785248 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 54785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62137152).

54785248 is an abundant number, since it is smaller than the sum of its proper divisors (69489056).

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

54785248 is a wasteful number, since it uses less digits than its factorization.

54785248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2007 counting only the distinct ones).

The product of its digits is 358400, while the sum is 43.

The square root of 54785248 is about 7401.7057493526. The cubic root of 54785248 is about 379.7996358306.

The spelling of 54785248 in words is "fifty-four million, seven hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 1867 2096 3668 3734 4192 7336 7468 13069 14672 14936 26138 29344 29872 52276 59744 104552 209104 244577 418208 489154 978308 1712039 1956616 3424078 3913232 6848156 7826464 13696312 27392624 54785248