Search a number
-
+
54462500 = 22554357
BaseRepresentation
bin1100111111000…
…0100000100100
310210110222111122
43033300200210
5102420300000
65223153112
71230631541
oct317604044
9123428448
1054462500
1128819534
12162a5798
13b38b641
147339bc8
154bac085
hex33f0824

54462500 has 36 divisors (see below), whose sum is σ = 119156436. Its totient is φ = 21780000.

The previous prime is 54462481. The next prime is 54462503. The reversal of 54462500 is 526445.

It can be written as a sum of positive squares in 6 ways, for example, as 25989604 + 28472896 = 5098^2 + 5336^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54462500.

It is not an unprimeable number, because it can be changed into a prime (54462503) 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 11 ways as a sum of consecutive naturals, for example, 10322 + ... + 14678.

It is an arithmetic number, because the mean of its divisors is an integer number (3309901).

Almost surely, 254462500 is an apocalyptic number.

54462500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59578218).

54462500 is an abundant number, since it is smaller than the sum of its proper divisors (64693936).

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

54462500 is an equidigital number, since it uses as much as digits as its factorization.

54462500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 54462500 is about 7379.8712725901. The cubic root of 54462500 is about 379.0523478304.

Adding to 54462500 its reverse (526445), we get a palindrome (54988945).

The spelling of 54462500 in words is "fifty-four million, four hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 4357 6250 8714 12500 17428 21785 43570 87140 108925 217850 435700 544625 1089250 2178500 2723125 5446250 10892500 13615625 27231250 54462500