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50563968 = 2737131447
BaseRepresentation
bin1100000011100…
…0101110000000
310112010220201120
43000320232000
5100421021333
65003432240
71152533550
oct300705600
9115126646
1050563968
11265a6504
1214b25680
13a625010
146a03160
15468bdb3
hex3038b80

50563968 has 128 divisors (see below), whose sum is σ = 165419520. Its totient is φ = 13326336.

The previous prime is 50563957. The next prime is 50563973. The reversal of 50563968 is 86936505.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34221 + ... + 35667.

It is an arithmetic number, because the mean of its divisors is an integer number (1292340).

Almost surely, 250563968 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 50563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82709760).

50563968 is an abundant number, since it is smaller than the sum of its proper divisors (114855552).

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

50563968 is a wasteful number, since it uses less digits than its factorization.

50563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 50563968 is about 7110.8345501776. The cubic root of 50563968 is about 369.7830917595.

It can be divided in two parts, 50563 and 968, that multiplied together give a palindrome (48944984).

The spelling of 50563968 in words is "fifty million, five hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1447 1456 1664 2184 2496 2688 2894 2912 4341 4368 4992 5788 5824 8682 8736 10129 11576 11648 17364 17472 18811 20258 23152 30387 34728 34944 37622 40516 46304 56433 60774 69456 75244 81032 92608 112866 121548 131677 138912 150488 162064 185216 225732 243096 263354 277824 300976 324128 395031 451464 486192 526708 555648 601952 648256 790062 902928 972384 1053416 1203904 1296512 1580124 1805856 1944768 2106832 2407808 3160248 3611712 3889536 4213664 6320496 7223424 8427328 12640992 16854656 25281984 50563968