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55683750 = 235431479
BaseRepresentation
bin1101010001101…
…0101010100110
310212210000202010
43110122222212
5103223340000
65305255050
71244206203
oct324325246
9125700663
1055683750
1129483031
1216794486
13b6c8485
147576caa
154d4dd50
hex351aaa6

55683750 has 80 divisors (see below), whose sum is σ = 143953920. Its totient is φ = 14340000.

The previous prime is 55683739. The next prime is 55683791. The reversal of 55683750 is 5738655.

55683750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55683699 and 55683708.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 116011 + ... + 116489.

It is an arithmetic number, because the mean of its divisors is an integer number (1799424).

Almost surely, 255683750 is an apocalyptic number.

55683750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55683750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71976960).

55683750 is an abundant number, since it is smaller than the sum of its proper divisors (88270170).

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

55683750 is a wasteful number, since it uses less digits than its factorization.

55683750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 55683750 is about 7462.1545146157. The cubic root of 55683750 is about 381.8646807419.

The spelling of 55683750 in words is "fifty-five million, six hundred eighty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 479 625 750 775 930 958 1250 1437 1550 1875 2325 2395 2874 3750 3875 4650 4790 7185 7750 11625 11975 14370 14849 19375 23250 23950 29698 35925 38750 44547 58125 59875 71850 74245 89094 116250 119750 148490 179625 222735 299375 359250 371225 445470 598750 742450 898125 1113675 1796250 1856125 2227350 3712250 5568375 9280625 11136750 18561250 27841875 55683750