Search a number
-
+
5385533500 = 225349121937
BaseRepresentation
bin1010000010000000…
…01011100000111100
3111220022211110002201
411001000023200330
542012144033000
62250222401244
7250313164564
oct50100134074
914808743081
105385533500
112313aa2036
121063730224
1367a9a6619
1439137bda4
15217c0d96a
hex14100b83c

5385533500 has 48 divisors (see below), whose sum is σ = 11786497632. Its totient is φ = 2149728000.

The previous prime is 5385533473. The next prime is 5385533501. The reversal of 5385533500 is 53355835.

It is a self number, because there is not a number n which added to its sum of digits gives 5385533500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385533501) 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 15 ways as a sum of consecutive naturals, for example, 234532 + ... + 256468.

It is an arithmetic number, because the mean of its divisors is an integer number (245552034).

Almost surely, 25385533500 is an apocalyptic number.

5385533500 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 5385533500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893248816).

5385533500 is an abundant number, since it is smaller than the sum of its proper divisors (6400964132).

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

5385533500 is a wasteful number, since it uses less digits than its factorization.

5385533500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22435 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

The square root of 5385533500 is about 73386.1942057224. The cubic root of 5385533500 is about 1752.8425639337.

The spelling of 5385533500 in words is "five billion, three hundred eighty-five million, five hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 491 500 982 1964 2455 4910 9820 12275 21937 24550 43874 49100 61375 87748 109685 122750 219370 245500 438740 548425 1096850 2193700 2742125 5484250 10771067 10968500 21542134 43084268 53855335 107710670 215421340 269276675 538553350 1077106700 1346383375 2692766750 5385533500