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51968448 = 2632712889
BaseRepresentation
bin1100011000111…
…1100111000000
310121210021022100
43012033213000
5101300442243
65053510400
71200503340
oct306174700
9117707270
1051968448
1127375734
12154a2400
13a9c737c
146c8ad20
1548680d3
hex318f9c0

51968448 has 84 divisors (see below), whose sum is σ = 170251120. Its totient is φ = 14846976.

The previous prime is 51968447. The next prime is 51968453. The reversal of 51968448 is 84486915.

It is a tau number, because it is divible by the number of its divisors (84).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51968447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2413 + ... + 10476.

Almost surely, 251968448 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 51968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85125560).

51968448 is an abundant number, since it is smaller than the sum of its proper divisors (118282672).

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

51968448 is a wasteful number, since it uses less digits than its factorization.

51968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12901 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 51968448 is about 7208.9144813904. The cubic root of 51968448 is about 373.1756079770.

The spelling of 51968448 in words is "fifty-one million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12889 25778 38667 51556 77334 90223 103112 116001 154668 180446 206224 232002 270669 309336 360892 412448 464004 541338 618672 721784 812007 824896 928008 1082676 1237344 1443568 1624014 1856016 2165352 2474688 2887136 3248028 3712032 4330704 5774272 6496056 7424064 8661408 12992112 17322816 25984224 51968448