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49896 = 2334711
BaseRepresentation
bin1100001011101000
32112110000
430023220
53044041
61023000
7265320
oct141350
975400
1049896
1134540
1224a60
1319932
1414280
15ebb6
hexc2e8

49896 has 80 divisors (see below), whose sum is σ = 174240. Its totient is φ = 12960.

The previous prime is 49891. The next prime is 49919. The reversal of 49896 is 69894.

49896 = T11 + T12 + ... + T66.

It is a super-2 number, since 2×498962 = 4979221632, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 47 + 9 + 85 + 93 + 6 .

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

Its product of digits (15552) is a multiple of the sum of its prime factors (36).

It is a nialpdrome in base 9 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 49896.

It is a congruent number.

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

49896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 19 ways as a sum of consecutive naturals, for example, 4531 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (2178).

49896 is a Friedman number, since it can be written as 99*84*6, using all its digits and the basic arithmetic operations.

249896 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 49896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

49896 is an abundant number, since it is smaller than the sum of its proper divisors (124344).

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

49896 is a wasteful number, since it uses less digits than its factorization.

49896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 23 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 49896 is about 223.3741256278. The cubic root of 49896 is about 36.8147546380.

The spelling of 49896 in words is "forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 7128 8316 12474 16632 24948 49896