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49889728 = 267193577
BaseRepresentation
bin1011111001010…
…0000111000000
310110212122211201
42332110013000
5100232432403
64541150544
71144025050
oct276240700
9113778751
1049889728
1126185989
121485b454
13a44a165
1468a9560
1545a721d
hex2f941c0

49889728 has 56 divisors (see below), whose sum is σ = 113926112. Its totient is φ = 21233664.

The previous prime is 49889689. The next prime is 49889729. The reversal of 49889728 is 82798894.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49889729) 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 7 ways as a sum of consecutive naturals, for example, 86176 + ... + 86752.

Almost surely, 249889728 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 49889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963056).

49889728 is an abundant number, since it is smaller than the sum of its proper divisors (64036384).

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

49889728 is a wasteful number, since it uses less digits than its factorization.

49889728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The square root of 49889728 is about 7063.2661000418. The cubic root of 49889728 is about 368.1321201721.

The spelling of 49889728 in words is "forty-nine million, eight hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 386 448 577 772 1154 1351 1544 2308 2702 3088 4039 4616 5404 6176 8078 9232 10808 12352 16156 18464 21616 32312 36928 43232 64624 86464 111361 129248 222722 258496 445444 779527 890888 1559054 1781776 3118108 3563552 6236216 7127104 12472432 24944864 49889728