Search a number
-
+
49888542 = 231136247
BaseRepresentation
bin1011111001001…
…1110100011110
310110212121012210
42332103310132
5100232413132
64541141250
71144021434
oct276236436
9113777183
1049888542
1126185000
121485a826
13a449762
1468a8d54
1545a6bcc
hex2f93d1e

49888542 has 32 divisors (see below), whose sum is σ = 109764864. Its totient is φ = 15115320.

The previous prime is 49888519. The next prime is 49888549. The reversal of 49888542 is 24588894.

It is a junction number, because it is equal to n+sod(n) for n = 49888491 and 49888500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49888549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863 + ... + 11109.

It is an arithmetic number, because the mean of its divisors is an integer number (3430152).

Almost surely, 249888542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49888542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54882432).

49888542 is an abundant number, since it is smaller than the sum of its proper divisors (59876322).

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

49888542 is a wasteful number, since it uses less digits than its factorization.

49888542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6263 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 49888542 is about 7063.1821440481. The cubic root of 49888542 is about 368.1292030175.

It can be divided in two parts, 4988 and 8542, that added together give a triangular number (13530 = T164).

The spelling of 49888542 in words is "forty-nine million, eight hundred eighty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 6247 7986 12494 18741 37482 68717 137434 206151 412302 755887 1511774 2267661 4535322 8314757 16629514 24944271 49888542