Search a number
-
+
49088 = 261359
BaseRepresentation
bin1011111111000000
32111100002
423333000
53032323
61015132
7263054
oct137700
974302
1049088
1133976
12244a8
1319460
1413c64
15e828
hexbfc0

49088 has 28 divisors (see below), whose sum is σ = 106680. Its totient is φ = 22272.

The previous prime is 49081. The next prime is 49103. The reversal of 49088 is 88094.

It is a self number, because there is not a number n which added to its sum of digits gives 49088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49081) by changing a digit.

49088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 803 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

249088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340).

49088 is an abundant number, since it is smaller than the sum of its proper divisors (57592).

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

49088 is a wasteful number, since it uses less digits than its factorization.

49088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 49088 is about 221.5581187860. The cubic root of 49088 is about 36.6149500473.

The spelling of 49088 in words is "forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1888 3068 3776 6136 12272 24544 49088