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55778900 = 2252557789
BaseRepresentation
bin1101010011000…
…1111001010100
310212221212021012
43110301321110
5103234411100
65311311352
71245053462
oct324617124
9125855235
1055778900
1129538571
121681b558
13b72c888
14759d832
154d6c135
hex3531e54

55778900 has 18 divisors (see below), whose sum is σ = 121040430. Its totient is φ = 22311520.

The previous prime is 55778867. The next prime is 55778909. The reversal of 55778900 is 987755.

It is a happy number.

55778900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14227984 + 41550916 = 3772^2 + 6446^2 .

It is a super-2 number, since 2×557789002 = 6222571370420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55778909) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 278795 + ... + 278994.

Almost surely, 255778900 is an apocalyptic number.

55778900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55778900 is an abundant number, since it is smaller than the sum of its proper divisors (65261530).

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

55778900 is a wasteful number, since it uses less digits than its factorization.

55778900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557803 (or 557796 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The square root of 55778900 is about 7468.5272979350. The cubic root of 55778900 is about 382.0820616260.

The spelling of 55778900 in words is "fifty-five million, seven hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557789 1115578 2231156 2788945 5577890 11155780 13944725 27889450 55778900