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50538312 = 23321125801
BaseRepresentation
bin1100000011001…
…0011101001000
310112002121112100
43000302131020
5100414211222
65003113400
71152366006
oct300623510
9115077470
1050538312
1126589200
1214b12860
13a616436
1469d7a76
1546844ac
hex3032748

50538312 has 72 divisors (see below), whose sum is σ = 150474870. Its totient is φ = 15312000.

The previous prime is 50538311. The next prime is 50538349. The reversal of 50538312 is 21383505.

It can be written as a sum of positive squares in only one way, i.e., 28579716 + 21958596 = 5346^2 + 4686^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (50538311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5812 + ... + 11612.

Almost surely, 250538312 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 50538312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75237435).

50538312 is an abundant number, since it is smaller than the sum of its proper divisors (99936558).

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

50538312 is a wasteful number, since it uses less digits than its factorization.

50538312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 50538312 is about 7109.0303136222. The cubic root of 50538312 is about 369.7205389152.

The spelling of 50538312 in words is "fifty million, five hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 5801 8712 11602 17403 23204 34806 46408 52209 63811 69612 104418 127622 139224 191433 208836 255244 382866 417672 510488 574299 701921 765732 1148598 1403842 1531464 2105763 2297196 2807684 4211526 4594392 5615368 6317289 8423052 12634578 16846104 25269156 50538312