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49894048 = 2517412237
BaseRepresentation
bin1011111001010…
…1001010100000
310110212212202201
42332111022200
5100233102143
64541222544
71144043461
oct276251240
9113785681
1049894048
1126189156
1214861a54
13a44c109
1468aad68
1545a864d
hex2f952a0

49894048 has 48 divisors (see below), whose sum is σ = 106591464. Its totient is φ = 22896640.

The previous prime is 49894037. The next prime is 49894049. The reversal of 49894048 is 84049894.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 6492304 = 6588^2 + 2548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49893989 and 49894007.

It is not an unprimeable number, because it can be changed into a prime (49894049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21186 + ... + 23422.

Almost surely, 249894048 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 49894048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53295732).

49894048 is an abundant number, since it is smaller than the sum of its proper divisors (56697416).

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

49894048 is a wasteful number, since it uses less digits than its factorization.

49894048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 49894048 is about 7063.5719009578. The cubic root of 49894048 is about 368.1427455047.

The spelling of 49894048 in words is "forty-nine million, eight hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2237 2788 4474 5576 8948 11152 17896 22304 35792 38029 71584 76058 91717 152116 183434 304232 366868 608464 733736 1216928 1467472 1559189 2934944 3118378 6236756 12473512 24947024 49894048