Search a number
-
+
49005882 = 23229269349
BaseRepresentation
bin1011101011110…
…0010100111010
310102012202102200
42322330110322
5100021142012
64510211030
71133354202
oct272742472
9112182380
1049005882
1125731932
12144b3a76
13a1caa83
146719402
1544803dc
hex2ebc53a

49005882 has 48 divisors (see below), whose sum is σ = 110565000. Its totient is φ = 15668352.

The previous prime is 49005829. The next prime is 49005889. The reversal of 49005882 is 28850094.

It can be written as a sum of positive squares in 4 ways, for example, as 36832761 + 12173121 = 6069^2 + 3489^2 .

It is not an unprimeable number, because it can be changed into a prime (49005889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140244 + ... + 140592.

Almost surely, 249005882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49005882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55282500).

49005882 is an abundant number, since it is smaller than the sum of its proper divisors (61559118).

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

49005882 is a wasteful number, since it uses less digits than its factorization.

49005882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 49005882 is about 7000.4201302493. The cubic root of 49005882 is about 365.9452126179.

The spelling of 49005882 in words is "forty-nine million, five thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 269 349 522 538 698 807 1047 1614 2094 2421 3141 4842 6282 7801 10121 15602 20242 23403 30363 46806 60726 70209 91089 93881 140418 182178 187762 281643 563286 844929 1689858 2722549 5445098 8167647 16335294 24502941 49005882