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49626304 = 267138521
BaseRepresentation
bin1011110101001…
…1110011000000
310110101021111021
42331103303000
5100201020204
64531355224
71141550050
oct275236300
9113337437
1049626304
1126015a82
1214752b14
13a3872a0
14683b560
154554154
hex2f53cc0

49626304 has 56 divisors (see below), whose sum is σ = 121216928. Its totient is φ = 19630080.

The previous prime is 49626293. The next prime is 49626371. The reversal of 49626304 is 40362694.

49626304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 49626304.

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 7 ways as a sum of consecutive naturals, for example, 1564 + ... + 10084.

It is an arithmetic number, because the mean of its divisors is an integer number (2164588).

Almost surely, 249626304 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 49626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60608464).

49626304 is an abundant number, since it is smaller than the sum of its proper divisors (71590624).

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

49626304 is a wasteful number, since it uses less digits than its factorization.

49626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 49626304 is about 7044.5939556514. The cubic root of 49626304 is about 367.4830485648.

Adding to 49626304 its reverse (40362694), we get a palindrome (89988998).

The spelling of 49626304 in words is "forty-nine million, six hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 8521 17042 34084 59647 68168 110773 119294 136336 221546 238588 272672 443092 477176 545344 775411 886184 954352 1550822 1772368 1908704 3101644 3544736 3817408 6203288 7089472 12406576 24813152 49626304