Search a number
-
+
55003400 = 2352535189
BaseRepresentation
bin1101000111010…
…0100100001000
310211111110110222
43101310210020
5103040102100
65242525212
71235343524
oct321644410
9124443428
1055003400
1129058961
1216506808
13b51a8ba
14743ad84
154c67485
hex3474908

55003400 has 48 divisors (see below), whose sum is σ = 130320900. Its totient is φ = 21582080.

The previous prime is 55003379. The next prime is 55003409. The reversal of 55003400 is 430055.

It can be written as a sum of positive squares in 6 ways, for example, as 34409956 + 20593444 = 5866^2 + 4538^2 .

It is not an unprimeable number, because it can be changed into a prime (55003409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8006 + ... + 13194.

Almost surely, 255003400 is an apocalyptic number.

55003400 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 55003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65160450).

55003400 is an abundant number, since it is smaller than the sum of its proper divisors (75317500).

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

55003400 is a wasteful number, since it uses less digits than its factorization.

55003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 55003400 is about 7416.4277115064. The cubic root of 55003400 is about 380.3030823016.

Adding to 55003400 its reverse (430055), we get a palindrome (55433455).

The spelling of 55003400 in words is "fifty-five million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5189 5300 10378 10600 20756 25945 41512 51890 103780 129725 207560 259450 275017 518900 550034 1037800 1100068 1375085 2200136 2750170 5500340 6875425 11000680 13750850 27501700 55003400