Search a number
-
+
49404 = 22323179
BaseRepresentation
bin1100000011111100
32111202210
430003330
53040104
61020420
7264015
oct140374
974683
1049404
1134133
1224710
1319644
141400c
15e989
hexc0fc

49404 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 15664.

The previous prime is 49393. The next prime is 49409. The reversal of 49404 is 40494.

It is a happy number.

49404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (49409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

249404 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 49404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

49404 is an abundant number, since it is smaller than the sum of its proper divisors (71556).

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

49404 is a wasteful number, since it uses less digits than its factorization.

49404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 49404 is about 222.2701059522. The cubic root of 49404 is about 36.6933506404.

Subtracting from 49404 its product of nonzero digits (576), we obtain a triangular number (48828 = T312).

Adding to 49404 its reverse (40494), we get a palindrome (89898).

The spelling of 49404 in words is "forty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 179 276 358 537 716 1074 2148 4117 8234 12351 16468 24702 49404