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49682466 = 23217229709
BaseRepresentation
bin1011110110000…
…1100000100010
310110111010112100
42331201200202
5100204314331
64532511230
71142202561
oct275414042
9113433470
1049682466
1126054199
121477b516
13a3a6a12
146853bd8
154565ae6
hex2f61822

49682466 has 48 divisors (see below), whose sum is σ = 114636600. Its totient is φ = 15496704.

The previous prime is 49682441. The next prime is 49682467. The reversal of 49682466 is 66428694.

It can be written as a sum of positive squares in 4 ways, for example, as 47900241 + 1782225 = 6921^2 + 1335^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49682467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69720 + ... + 70428.

Almost surely, 249682466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49682466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57318300).

49682466 is an abundant number, since it is smaller than the sum of its proper divisors (64954134).

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

49682466 is a wasteful number, since it uses less digits than its factorization.

49682466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 49682466 is about 7048.5790057287. The cubic root of 49682466 is about 367.6216229407.

The spelling of 49682466 in words is "forty-nine million, six hundred eighty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 306 458 687 709 1374 1418 2061 2127 3893 4122 4254 6381 7786 11679 12053 12762 23358 24106 35037 36159 70074 72318 108477 162361 216954 324722 487083 974166 1461249 2760137 2922498 5520274 8280411 16560822 24841233 49682466