Search a number
-
+
55257660 = 22335102329
BaseRepresentation
bin1101001011001…
…0101000111100
310211222101021000
43102302220330
5103121221120
65252210300
71240453023
oct322625074
9124871230
1055257660
1129211997
1216609990
13b5a9553
1474a58ba
154cb7990
hex34b2a3c

55257660 has 48 divisors (see below), whose sum is σ = 171914400. Its totient is φ = 14735232.

The previous prime is 55257611. The next prime is 55257677. The reversal of 55257660 is 6675255.

55257660 is a `hidden beast` number, since 5 + 525 + 76 + 60 = 666.

55257660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 50625 + ... + 51704.

It is an arithmetic number, because the mean of its divisors is an integer number (3581550).

Almost surely, 255257660 is an apocalyptic number.

It is an amenable number.

55257660 is an abundant number, since it is smaller than the sum of its proper divisors (116656740).

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

55257660 is a wasteful number, since it uses less digits than its factorization.

55257660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102347 (or 102339 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 55257660 is about 7433.5496231612. The cubic root of 55257660 is about 380.8881809621. Note that the first 3 decimals are identical.

The spelling of 55257660 in words is "fifty-five million, two hundred fifty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 102329 204658 306987 409316 511645 613974 920961 1023290 1227948 1534935 1841922 2046580 2762883 3069870 3683844 4604805 5525766 6139740 9209610 11051532 13814415 18419220 27628830 55257660