Search a number
-
+
49609224 = 23327257383
BaseRepresentation
bin1011110100111…
…1101000001000
310110100102001200
42331033220020
5100144443344
64531144200
71141446210
oct275175010
9113312050
1049609224
1126004165
1214745060
13a37c592
146835240
15454e069
hex2f4fa08

49609224 has 96 divisors (see below), whose sum is σ = 154552320. Its totient is φ = 14082048.

The previous prime is 49609211. The next prime is 49609237. The reversal of 49609224 is 42290694.

49609224 is a `hidden beast` number, since 49 + 609 + 2 + 2 + 4 = 666.

49609224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49609211) and next prime (49609237).

It is a super-2 number, since 2×496092242 = 4922150211764352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129337 + ... + 129719.

It is an arithmetic number, because the mean of its divisors is an integer number (1609920).

Almost surely, 249609224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49609224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77276160).

49609224 is an abundant number, since it is smaller than the sum of its proper divisors (104943096).

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

49609224 is a wasteful number, since it uses less digits than its factorization.

49609224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49609224 is about 7043.3815742156. The cubic root of 49609224 is about 367.4408845632.

The spelling of 49609224 in words is "forty-nine million, six hundred nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 257 383 504 514 766 771 1028 1149 1532 1542 1799 2056 2298 2313 2681 3064 3084 3447 3598 4596 4626 5362 5397 6168 6894 7196 8043 9192 9252 10724 10794 13788 14392 16086 16191 18504 21448 21588 24129 27576 32172 32382 43176 48258 64344 64764 96516 98431 129528 193032 196862 295293 393724 590586 689017 787448 885879 1181172 1378034 1771758 2067051 2362344 2756068 3543516 4134102 5512136 6201153 7087032 8268204 12402306 16536408 24804612 49609224