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55805000 = 235411161
BaseRepresentation
bin1101010011100…
…0010001001000
310220000012001212
43110320101020
5103241230000
65312032252
71245222536
oct324702110
9126005055
1055805000
1129556139
1216832688
13b73b714
1475a9156
154d74c35
hex3538448

55805000 has 40 divisors (see below), whose sum is σ = 130762830. Its totient is φ = 22320000.

The previous prime is 55804993. The next prime is 55805003. The reversal of 55805000 is 50855.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2427364 + 53377636 = 1558^2 + 7306^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×558050002 = 6228396050000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55805003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 581 + ... + 10580.

Almost surely, 255805000 is an apocalyptic number.

55805000 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 55805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65381415).

55805000 is an abundant number, since it is smaller than the sum of its proper divisors (74957830).

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

55805000 is a wasteful number, since it uses less digits than its factorization.

55805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 55805000 is about 7470.2744260168. The cubic root of 55805000 is about 382.1416468025.

Adding to 55805000 its reverse (50855), we get a palindrome (55855855).

The spelling of 55805000 in words is "fifty-five million, eight hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 11161 22322 44644 55805 89288 111610 223220 279025 446440 558050 1116100 1395125 2232200 2790250 5580500 6975625 11161000 13951250 27902500 55805000