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55200340 = 22513297321
BaseRepresentation
bin1101001010010…
…0101001010100
310211212110122001
43102210221110
5103112402330
65251045044
71240123636
oct322445124
9124773561
1055200340
1129182918
12165a0784
13b589430
14748ca56
154ca59ca
hex34a4a54

55200340 has 48 divisors (see below), whose sum is σ = 129160080. Its totient is φ = 19676160.

The previous prime is 55200331. The next prime is 55200349. The reversal of 55200340 is 4300255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55200331) and next prime (55200349).

It can be written as a sum of positive squares in 8 ways, for example, as 19607184 + 35593156 = 4428^2 + 5966^2 .

It is a super-2 number, since 2×552003402 = 6094155072231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55200349) 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, 3880 + ... + 11200.

It is an arithmetic number, because the mean of its divisors is an integer number (2690835).

Almost surely, 255200340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64580040).

55200340 is an abundant number, since it is smaller than the sum of its proper divisors (73959740).

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

55200340 is a wasteful number, since it uses less digits than its factorization.

55200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 55200340 is about 7429.6931295983. The cubic root of 55200340 is about 380.7564341358.

Adding to 55200340 its reverse (4300255), we get a palindrome (59500595).

The spelling of 55200340 in words is "fifty-five million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7321 7540 14642 29284 36605 73210 95173 146420 190346 212309 380692 424618 475865 849236 951730 1061545 1903460 2123090 2760017 4246180 5520034 11040068 13800085 27600170 55200340