Search a number
-
+
54768132 = 22321521337
BaseRepresentation
bin1101000011101…
…1001000000100
310211001111202100
43100323020010
5103010040012
65233512100
71233343566
oct320731004
9124044670
1054768132
1128a08121
1216412630
13b4677a3
1473b9336
154c1c8dc
hex343b204

54768132 has 18 divisors (see below), whose sum is σ = 138441758. Its totient is φ = 18256032.

The previous prime is 54768121. The next prime is 54768137. The reversal of 54768132 is 23186745.

54768132 is a `hidden beast` number, since 547 + 6 + 81 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43639236 + 11128896 = 6606^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1521337 = 54768132 / (5 + 4 + 7 + 6 + 8 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (54768137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 760633 + ... + 760704.

Almost surely, 254768132 is an apocalyptic number.

It is an amenable number.

54768132 is an abundant number, since it is smaller than the sum of its proper divisors (83673626).

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

54768132 is a wasteful number, since it uses less digits than its factorization.

54768132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521347 (or 1521342 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54768132 is about 7400.5494390619. The cubic root of 54768132 is about 379.7600793935.

The spelling of 54768132 in words is "fifty-four million, seven hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1521337 3042674 4564011 6085348 9128022 13692033 18256044 27384066 54768132