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54505769 = 4111532
BaseRepresentation
bin1100111111101…
…1000100101001
310210120011212012
43033323010221
5102423141034
65224125305
71231201643
oct317730451
9123504765
1054505769
1128848a9a
1216306835
13b3a5246
14734b893
154bb9cce
hex33fb129

54505769 has 6 divisors (see below), whose sum is σ = 55883646. Its totient is φ = 53130240.

The previous prime is 54505751. The next prime is 54505771. The reversal of 54505769 is 96750545.

It can be written as a sum of positive squares in 3 ways, for example, as 9078169 + 45427600 = 3013^2 + 6740^2 .

It is not a de Polignac number, because 54505769 - 212 = 54501673 is a prime.

It is a super-3 number, since 3×545057693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54505729) 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, 46697 + ... + 47849.

It is an arithmetic number, because the mean of its divisors is an integer number (9313941).

Almost surely, 254505769 is an apocalyptic number.

It is an amenable number.

54505769 is a deficient number, since it is larger than the sum of its proper divisors (1377877).

54505769 is an frugal number, since it uses more digits than its factorization.

54505769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 54505769 is about 7382.8022457601. The cubic root of 54505769 is about 379.1527035768.

Multiplying 54505769 by its sum of digits (41), we get a square (2234736529 = 472732).

54505769 divided by its sum of digits (41) gives a square (1329409 = 11532).

The spelling of 54505769 in words is "fifty-four million, five hundred five thousand, seven hundred sixty-nine".

Divisors: 1 41 1153 47273 1329409 54505769