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54278268 = 223112831453
BaseRepresentation
bin1100111100001…
…1100001111100
310210010121210020
43033003201330
5102343401033
65215212140
71226233452
oct317034174
9123117706
1054278268
1128703080
1216217050
13b325825
1472cc9d2
154b726b3
hex33c387c

54278268 has 48 divisors (see below), whose sum is σ = 138746496. Its totient is φ = 16378560.

The previous prime is 54278243. The next prime is 54278317. The reversal of 54278268 is 86287245.

It is a happy number.

It is a super-3 number, since 3×542782683 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36630 + ... + 38082.

It is an arithmetic number, because the mean of its divisors is an integer number (2890552).

Almost surely, 254278268 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 54278268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69373248).

54278268 is an abundant number, since it is smaller than the sum of its proper divisors (84468228).

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

54278268 is a wasteful number, since it uses less digits than its factorization.

54278268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 54278268 is about 7367.3786382946. The cubic root of 54278268 is about 378.6244542450.

It can be divided in two parts, 5427 and 8268, that added together give a triangular number (13695 = T165).

The spelling of 54278268 in words is "fifty-four million, two hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1453 1698 2906 3113 3396 4359 5812 6226 8718 9339 12452 15983 17436 18678 31966 37356 47949 63932 95898 191796 411199 822398 1233597 1644796 2467194 4523189 4934388 9046378 13569567 18092756 27139134 54278268