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49890 = 2351663
BaseRepresentation
bin1100001011100010
32112102210
430023202
53044030
61022550
7265311
oct141342
975383
1049890
1134535
1224a56
1319929
1414278
15ebb0
hexc2e2

49890 has 16 divisors (see below), whose sum is σ = 119808. Its totient is φ = 13296.

The previous prime is 49877. The next prime is 49891. The reversal of 49890 is 9894.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1663 = 49890 / (4 + 9 + 8 + 9 + 0).

It is a d-powerful number, because it can be written as 47 + 9 + 85 + 93 + 0 .

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49890.

It is not an unprimeable number, because it can be changed into a prime (49891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

249890 is an apocalyptic number.

49890 is an abundant number, since it is smaller than the sum of its proper divisors (69918).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59904).

49890 is a wasteful number, since it uses less digits than its factorization.

49890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 49890 is about 223.3606948413. The cubic root of 49890 is about 36.8132789193.

It can be divided in two parts, 49 and 890, that added together give a palindrome (939).

The spelling of 49890 in words is "forty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 1663 3326 4989 8315 9978 16630 24945 49890