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55536200 = 2352713911
BaseRepresentation
bin1101001111011…
…0101001001000
310212111112100022
43103312221020
5103204124300
65302200012
71243023056
oct323665110
9125445308
1055536200
1129392195
1216723008
13b676275
1475391d6
154d20285
hex34f6a48

55536200 has 48 divisors (see below), whose sum is σ = 130973760. Its totient is φ = 21896000.

The previous prime is 55536197. The next prime is 55536227. The reversal of 55536200 is 263555.

55536200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55536200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12245 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (2728620).

Almost surely, 255536200 is an apocalyptic number.

55536200 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 55536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65486880).

55536200 is an abundant number, since it is smaller than the sum of its proper divisors (75437560).

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

55536200 is a wasteful number, since it uses less digits than its factorization.

55536200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 55536200 is about 7452.2614017491. The cubic root of 55536200 is about 381.5270958770.

Adding to 55536200 its reverse (263555), we get a palindrome (55799755).

The spelling of 55536200 in words is "fifty-five million, five hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 3911 7100 7822 14200 15644 19555 31288 39110 78220 97775 156440 195550 277681 391100 555362 782200 1110724 1388405 2221448 2776810 5553620 6942025 11107240 13884050 27768100 55536200