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55358600 = 23521125163
BaseRepresentation
bin1101001100101…
…1010010001000
310212011111201112
43103023102020
5103132433400
65254305452
71241353223
oct323132210
9125144645
1055358600
1129280810
1216658288
13b61348b
1474d05ba
154cd7835
hex34cb488

55358600 has 48 divisors (see below), whose sum is σ = 140415120. Its totient is φ = 20129600.

The previous prime is 55358599. The next prime is 55358603. The reversal of 55358600 is 685355.

It is not an unprimeable number, because it can be changed into a prime (55358603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10382 + ... + 14781.

It is an arithmetic number, because the mean of its divisors is an integer number (2925315).

Almost surely, 255358600 is an apocalyptic number.

55358600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55358600 is an abundant number, since it is smaller than the sum of its proper divisors (85056520).

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

55358600 is a wasteful number, since it uses less digits than its factorization.

55358600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25190 (or 25181 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 55358600 is about 7440.3360139177. The cubic root of 55358600 is about 381.1199646112.

The spelling of 55358600 in words is "fifty-five million, three hundred fifty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25163 50326 100652 125815 201304 251630 276793 503260 553586 629075 1006520 1107172 1258150 1383965 2214344 2516300 2767930 5032600 5535860 6919825 11071720 13839650 27679300 55358600