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49734 = 234307
BaseRepresentation
bin1100001001000110
32112020000
430021012
53042414
61022130
7264666
oct141106
975200
1049734
1134403
1224946
1319839
14141a6
15eb09
hexc246

49734 has 20 divisors (see below), whose sum is σ = 111804. Its totient is φ = 16524.

The previous prime is 49727. The next prime is 49739. The reversal of 49734 is 43794.

Added to its reverse (43794) it gives a triangular number (93528 = T432).

49734 = 1102 + 1112 + ... + 1132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 49698 and 49707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49739) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9 + ... + 315.

249734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902).

49734 is an abundant number, since it is smaller than the sum of its proper divisors (62070).

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

49734 is a wasteful number, since it uses less digits than its factorization.

49734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 49734 is about 223.0112104805. The cubic root of 49734 is about 36.7748686321.

Adding to 49734 its reverse (43794), we get a triangular number (93528 = T432).

The spelling of 49734 in words is "forty-nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 307 614 921 1842 2763 5526 8289 16578 24867 49734