Search a number
-
+
49634442 = 232112131753
BaseRepresentation
bin1011110101010…
…1110010001010
310110101200122200
42331111302022
5100201300232
64531501030
71141612554
oct275256212
9113350580
1049634442
1126021100
1214757776
13a38abc0
1468404d4
15455677c
hex2f55c8a

49634442 has 72 divisors (see below), whose sum is σ = 127371972. Its totient is φ = 13875840.

The previous prime is 49634413. The next prime is 49634449. The reversal of 49634442 is 24443694.

It can be written as a sum of positive squares in 2 ways, for example, as 38081241 + 11553201 = 6171^2 + 3399^2 .

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 49634397 and 49634406.

It is not an unprimeable number, because it can be changed into a prime (49634449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27438 + ... + 29190.

Almost surely, 249634442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49634442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685986).

49634442 is an abundant number, since it is smaller than the sum of its proper divisors (77737530).

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

49634442 is a wasteful number, since it uses less digits than its factorization.

49634442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1782 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 49634442 is about 7045.1715380110. The cubic root of 49634442 is about 367.5031347782.

The spelling of 49634442 in words is "forty-nine million, six hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 1753 2178 2574 3146 3506 4719 5259 9438 10518 14157 15777 19283 22789 28314 31554 38566 45578 57849 68367 115698 136734 173547 205101 212113 250679 347094 410202 424226 501358 636339 752037 1272678 1504074 1909017 2256111 2757469 3818034 4512222 5514938 8272407 16544814 24817221 49634442