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55788700 = 225211411237
BaseRepresentation
bin1101010011010…
…0010010011100
310212222100201011
43110310102130
5103240214300
65311425004
71245124162
oct324642234
9125870634
1055788700
1129544970
1216825164
13b734186
1475a3232
154d6eeba
hex353449c

55788700 has 72 divisors (see below), whose sum is σ = 135397584. Its totient is φ = 19776000.

The previous prime is 55788653. The next prime is 55788703. The reversal of 55788700 is 788755.

55788700 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557887002 = 6224758095380000, which contains 22 as substring.

55788700 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55788703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44482 + ... + 45718.

It is an arithmetic number, because the mean of its divisors is an integer number (1880522).

Almost surely, 255788700 is an apocalyptic number.

55788700 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 55788700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67698792).

55788700 is an abundant number, since it is smaller than the sum of its proper divisors (79608884).

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

55788700 is a wasteful number, since it uses less digits than its factorization.

55788700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The square root of 55788700 is about 7469.1833556286. The cubic root of 55788700 is about 382.1044367831.

Subtracting from 55788700 its reverse (788755), we obtain a palindrome (54999945).

The spelling of 55788700 in words is "fifty-five million, seven hundred eighty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1237 1804 2050 2255 2474 4100 4510 4948 6185 9020 11275 12370 13607 22550 24740 27214 30925 45100 50717 54428 61850 68035 101434 123700 136070 202868 253585 272140 340175 507170 557887 680350 1014340 1115774 1267925 1360700 2231548 2535850 2789435 5071700 5578870 11157740 13947175 27894350 55788700