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48905090 = 25131722129
BaseRepresentation
bin1011101010001…
…1101110000010
310102000122011122
42322203232002
5100004430330
64504112242
71132454303
oct272435602
9112018148
1048905090
1125673133
1214465682
13a193c30
1466d07aa
1544605e5
hex2ea3b82

48905090 has 32 divisors (see below), whose sum is σ = 100381680. Its totient is φ = 16994304.

The previous prime is 48905089. The next prime is 48905093. The reversal of 48905090 is 9050984.

48905090 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 8 ways, for example, as 32752729 + 16152361 = 5723^2 + 4019^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 48905090.

It is not an unprimeable number, because it can be changed into a prime (48905093) 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 15 ways as a sum of consecutive naturals, for example, 8855 + ... + 13274.

Almost surely, 248905090 is an apocalyptic number.

48905090 is an abundant number, since it is smaller than the sum of its proper divisors (51476590).

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

48905090 is a wasteful number, since it uses less digits than its factorization.

48905090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22166.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 48905090 is about 6993.2174283373. The cubic root of 48905090 is about 365.6941565924.

The spelling of 48905090 in words is "forty-eight million, nine hundred five thousand, ninety".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 22129 44258 110645 221290 287677 376193 575354 752386 1438385 1880965 2876770 3761930 4890509 9781018 24452545 48905090