Search a number
-
+
48935205 = 33511311063
BaseRepresentation
bin1011101010101…
…1000100100101
310102002011111000
42322223010211
5100011411310
64504503513
71132641144
oct272530445
9112064430
1048935205
1125693820
121447ab99
13a1a4857
1466db75b
1544694c0
hex2eab125

48935205 has 64 divisors (see below), whose sum is σ = 98058240. Its totient is φ = 22939200.

The previous prime is 48935189. The next prime is 48935213. The reversal of 48935205 is 50253984.

48935205 is a `hidden beast` number, since 48 + 93 + 520 + 5 = 666.

48935205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48935205 - 24 = 48935189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 48935205.

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 63 ways as a sum of consecutive naturals, for example, 45504 + ... + 46566.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 248935205 is an apocalyptic number.

48935205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48935205 is an abundant number, since it is smaller than the sum of its proper divisors (49123035).

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

48935205 is a wasteful number, since it uses less digits than its factorization.

48935205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 48935205 is about 6995.3702546756. The cubic root of 48935205 is about 365.7692041303.

The spelling of 48935205 in words is "forty-eight million, nine hundred thirty-five thousand, two hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1063 1395 1485 1705 3069 3189 4185 5115 5315 9207 9567 11693 15345 15945 28701 32953 35079 46035 47835 58465 98859 105237 143505 164765 175395 296577 315711 362483 494295 526185 889731 1087449 1482885 1578555 1812415 3262347 4448655 5437245 9787041 16311735 48935205