Search a number
-
+
54820100 = 2252548201
BaseRepresentation
bin1101000100011…
…1110100000100
310211011011001002
43101013310010
5103013220400
65234552432
71233651236
oct321076404
9124134032
1054820100
1128a43175
1216438718
13b48533a
1473d0256
154c2ced5
hex3447d04

54820100 has 18 divisors (see below), whose sum is σ = 118959834. Its totient is φ = 21928000.

The previous prime is 54820093. The next prime is 54820159. The reversal of 54820100 is 102845.

It can be written as a sum of positive squares in 3 ways, for example, as 9634816 + 45185284 = 3104^2 + 6722^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 274001 + ... + 274200.

Almost surely, 254820100 is an apocalyptic number.

54820100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54820100 is an abundant number, since it is smaller than the sum of its proper divisors (64139734).

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

54820100 is a wasteful number, since it uses less digits than its factorization.

54820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548215 (or 548208 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 54820100 is about 7404.0596972202. The cubic root of 54820100 is about 379.8801561136.

Adding to 54820100 its reverse (102845), we get a palindrome (54922945).

The spelling of 54820100 in words is "fifty-four million, eight hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 548201 1096402 2192804 2741005 5482010 10964020 13705025 27410050 54820100