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54775248 = 2431129431
BaseRepresentation
bin1101000011110…
…0110111010000
310211001212111220
43100330313100
5103010301443
65234005040
71233403413
oct320746720
9124055456
1054775248
1128a12500
1216416780
13b46aab8
1473bbb7a
154c1ea83
hex343cdd0

54775248 has 60 divisors (see below), whose sum is σ = 155552544. Its totient is φ = 16596800.

The previous prime is 54775223. The next prime is 54775289. The reversal of 54775248 is 84257745.

54775248 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 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 11 ways as a sum of consecutive naturals, for example, 1093 + ... + 10523.

Almost surely, 254775248 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 54775248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77776272).

54775248 is an abundant number, since it is smaller than the sum of its proper divisors (100777296).

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

54775248 is a wasteful number, since it uses less digits than its factorization.

54775248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9447 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 54775248 is about 7401.0301985602. The cubic root of 54775248 is about 379.7765260362.

The spelling of 54775248 in words is "fifty-four million, seven hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 9431 18862 28293 37724 56586 75448 103741 113172 150896 207482 226344 311223 414964 452688 622446 829928 1141151 1244892 1659856 2282302 2489784 3423453 4564604 4979568 6846906 9129208 13693812 18258416 27387624 54775248