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49392 = 243273
BaseRepresentation
bin1100000011110000
32111202100
430003300
53040032
61020400
7264000
oct140360
974670
1049392
1134122
1224700
1319635
1414000
15e97c
hexc0f0

49392 has 60 divisors (see below), whose sum is σ = 161200. Its totient is φ = 14112.

The previous prime is 49391. The next prime is 49393. The reversal of 49392 is 29394.

It can be divided in two parts, 493 and 92, that added together give a palindrome (585).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (49391) and next prime (49393).

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

Its product of digits (1944) is a multiple of the sum of its prime divisors (12).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7053 + ... + 7059.

249392 is an apocalyptic number.

49392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80600).

49392 is an abundant number, since it is smaller than the sum of its proper divisors (111808).

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

49392 is a wasteful number, since it uses less digits than its factorization.

49392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 49392 is about 222.2431101294. The cubic root of 49392 is about 36.6903795189.

The spelling of 49392 in words is "forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392