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55440200 = 2352416761
BaseRepresentation
bin1101001101111…
…1001101001000
310212022122122202
43103133031020
5103143041300
65300135332
71242143144
oct323371510
9125278582
1055440200
1129327052
1216697548
13b64166a
147512224
154d01ad5
hex34df348

55440200 has 48 divisors (see below), whose sum is σ = 132061860. Its totient is φ = 21632000.

The previous prime is 55440197. The next prime is 55440211. The reversal of 55440200 is 204455.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13734436 + 41705764 = 3706^2 + 6458^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4820 + ... + 11580.

Almost surely, 255440200 is an apocalyptic number.

55440200 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 55440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66030930).

55440200 is an abundant number, since it is smaller than the sum of its proper divisors (76621660).

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

55440200 is a wasteful number, since it uses less digits than its factorization.

55440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 55440200 is about 7445.8176179651. The cubic root of 55440200 is about 381.3071328873.

Adding to 55440200 its reverse (204455), we get a palindrome (55644655).

The spelling of 55440200 in words is "fifty-five million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 6761 8200 13522 27044 33805 54088 67610 135220 169025 270440 277201 338050 554402 676100 1108804 1352200 1386005 2217608 2772010 5544020 6930025 11088040 13860050 27720100 55440200