Search a number
-
+
54265995 = 3257199067
BaseRepresentation
bin1100111100000…
…0100010001011
310210002222221200
43033000202023
5102343002440
65215035243
71226152620
oct317004213
9123088850
1054265995
11286a4933
121620bb23
13b320074
1472c8347
154b6dc30
hex33c088b

54265995 has 48 divisors (see below), whose sum is σ = 113168640. Its totient is φ = 23499072.

The previous prime is 54265979. The next prime is 54265997. The reversal of 54265995 is 59956245.

It is a happy number.

54265995 is a `hidden beast` number, since 54 + 2 + 6 + 599 + 5 = 666.

It is not a de Polignac number, because 54265995 - 24 = 54265979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 54265995.

It is not an unprimeable number, because it can be changed into a prime (54265997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452 + ... + 10518.

It is an arithmetic number, because the mean of its divisors is an integer number (2357680).

Almost surely, 254265995 is an apocalyptic number.

54265995 is an abundant number, since it is smaller than the sum of its proper divisors (58902645).

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

54265995 is a wasteful number, since it uses less digits than its factorization.

54265995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9101 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 54265995 is about 7366.5456626563. The cubic root of 54265995 is about 378.5959148413.

The spelling of 54265995 in words is "fifty-four million, two hundred sixty-five thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 9067 27201 45335 63469 81603 136005 172273 190407 317345 408015 516819 571221 861365 952035 1205911 1550457 2584095 2856105 3617733 6029555 7752285 10853199 18088665 54265995