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51750048 = 2537531453
BaseRepresentation
bin1100010101101…
…0010010100000
310121101011201110
43011122102200
5101222000143
65045103320
71165603530
oct305322240
9117334643
1051750048
1127236639
12153b7b40
13a94bb3c
146c314c0
154823533
hex315a4a0

51750048 has 96 divisors (see below), whose sum is σ = 158288256. Its totient is φ = 14496768.

The previous prime is 51750047. The next prime is 51750059. The reversal of 51750048 is 84005715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 51749997 and 51750024.

It is not an unprimeable number, because it can be changed into a prime (51750047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34890 + ... + 36342.

It is an arithmetic number, because the mean of its divisors is an integer number (1648836).

Almost surely, 251750048 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 51750048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79144128).

51750048 is an abundant number, since it is smaller than the sum of its proper divisors (106538208).

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

51750048 is a wasteful number, since it uses less digits than its factorization.

51750048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 51750048 is about 7193.7506211989. The cubic root of 51750048 is about 372.6521109021.

The spelling of 51750048 in words is "fifty-one million, seven hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1453 1484 1696 2226 2544 2906 2968 4359 4452 5088 5812 5936 8718 8904 10171 11624 11872 17436 17808 20342 23248 30513 34872 35616 40684 46496 61026 69744 77009 81368 122052 139488 154018 162736 231027 244104 308036 325472 462054 488208 539063 616072 924108 976416 1078126 1232144 1617189 1848216 2156252 2464288 3234378 3696432 4312504 6468756 7392864 8625008 12937512 17250016 25875024 51750048