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49837472 = 25173317
BaseRepresentation
bin1011111000011…
…1010110100000
310110210000011022
42332013112200
5100224244342
64540105012
71143416516
oct276072640
9113700138
1049837472
112614a6a3
1214835168
13a42c439
1468944b6
1545969d2
hex2f875a0

49837472 has 48 divisors (see below), whose sum is σ = 104577480. Its totient is φ = 23378944.

The previous prime is 49837471. The next prime is 49837507. The reversal of 49837472 is 27473894.

49837472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33223696 + 16613776 = 5764^2 + 4076^2 .

It is a super-3 number, since 3×498374723 (a number of 24 digits) contains 333 as substring.

Its product of digits (338688) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (49837471) by changing a digit.

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, 157058 + ... + 157374.

Almost surely, 249837472 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 49837472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52288740).

49837472 is an abundant number, since it is smaller than the sum of its proper divisors (54740008).

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

49837472 is an equidigital number, since it uses as much as digits as its factorization.

49837472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 336 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 49837472 is about 7059.5659923256. The cubic root of 49837472 is about 368.0035443893.

The spelling of 49837472 in words is "forty-nine million, eight hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 317 544 578 634 1156 1268 2312 2536 4624 4913 5072 5389 9248 9826 10144 10778 19652 21556 39304 43112 78608 86224 91613 157216 172448 183226 366452 732904 1465808 1557421 2931616 3114842 6229684 12459368 24918736 49837472