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54768330 = 2325797703
BaseRepresentation
bin1101000011101…
…1001011001010
310211001112000200
43100323023022
5103010041310
65233513030
71233344301
oct320731312
9124045020
1054768330
1128a08291
1216412776
13b4678c6
1473b9438
154c1c9c0
hex343b2ca

54768330 has 48 divisors (see below), whose sum is σ = 144218880. Its totient is φ = 14418144.

The previous prime is 54768277. The next prime is 54768331. The reversal of 54768330 is 3386745.

It is a happy number.

54768330 is a `hidden beast` number, since 547 + 6 + 83 + 30 = 666.

54768330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54768331) 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 23 ways as a sum of consecutive naturals, for example, 3259 + ... + 10961.

It is an arithmetic number, because the mean of its divisors is an integer number (3004560).

Almost surely, 254768330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54768330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72109440).

54768330 is an abundant number, since it is smaller than the sum of its proper divisors (89450550).

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

54768330 is a wasteful number, since it uses less digits than its factorization.

54768330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54768330 is about 7400.5628164350. The cubic root of 54768330 is about 379.7605370343.

The spelling of 54768330 in words is "fifty-four million, seven hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 7703 15406 23109 38515 46218 69327 77030 115545 138654 231090 346635 608537 693270 1217074 1825611 3042685 3651222 5476833 6085370 9128055 10953666 18256110 27384165 54768330