Search a number
-
+
55202600 = 23521973199
BaseRepresentation
bin1101001010010…
…1001100101000
310211212120201202
43102211030220
5103112440400
65251103332
71240133345
oct322451450
9124776652
1055202600
1129184592
12165a1b48
13b58a47b
14748d7cc
154ca64d5
hex34a5328

55202600 has 96 divisors (see below), whose sum is σ = 137640000. Its totient is φ = 20528640.

The previous prime is 55202597. The next prime is 55202633. The reversal of 55202600 is 620255.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 277301 + ... + 277499.

It is an arithmetic number, because the mean of its divisors is an integer number (1433750).

Almost surely, 255202600 is an apocalyptic number.

55202600 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 55202600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68820000).

55202600 is an abundant number, since it is smaller than the sum of its proper divisors (82437400).

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

55202600 is a wasteful number, since it uses less digits than its factorization.

55202600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55202600 is about 7429.8452204605. The cubic root of 55202600 is about 380.7616303465.

Adding to 55202600 its reverse (620255), we get a palindrome (55822855).

The spelling of 55202600 in words is "fifty-five million, two hundred two thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 73 76 95 100 146 152 190 199 200 292 365 380 398 475 584 730 760 796 950 995 1387 1460 1592 1825 1900 1990 2774 2920 3650 3781 3800 3980 4975 5548 6935 7300 7562 7960 9950 11096 13870 14527 14600 15124 18905 19900 27740 29054 30248 34675 37810 39800 55480 58108 69350 72635 75620 94525 116216 138700 145270 151240 189050 276013 277400 290540 363175 378100 552026 581080 726350 756200 1104052 1380065 1452700 2208104 2760130 2905400 5520260 6900325 11040520 13800650 27601300 55202600