Search a number
-
+
49741488 = 24322231549
BaseRepresentation
bin1011110110111…
…1111010110000
310110121010111100
42331233322300
5100213211423
64534044400
71142536626
oct275577260
9113533440
1049741488
1126094575
12147a9700
13a3c7844
14686b516
154578343
hex2f6feb0

49741488 has 60 divisors (see below), whose sum is σ = 139921600. Its totient is φ = 16495488.

The previous prime is 49741457. The next prime is 49741499. The reversal of 49741488 is 88414794.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31338 + ... + 32886.

Almost surely, 249741488 is an apocalyptic number.

49741488 is a gapful number since it is divisible by the number (48) 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 49741488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69960800).

49741488 is an abundant number, since it is smaller than the sum of its proper divisors (90180112).

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

49741488 is a wasteful number, since it uses less digits than its factorization.

49741488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1777 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 49741488 is about 7052.7645643393. The cubic root of 49741488 is about 367.7671415958.

The spelling of 49741488 in words is "forty-nine million, seven hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1549 1784 2007 2676 3098 3568 4014 4647 5352 6196 8028 9294 10704 12392 13941 16056 18588 24784 27882 32112 37176 55764 74352 111528 223056 345427 690854 1036281 1381708 2072562 2763416 3108843 4145124 5526832 6217686 8290248 12435372 16580496 24870744 49741488