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50505728 = 211713271
BaseRepresentation
bin1100000010101…
…0100000000000
310112000221211112
43000222200000
5100412140403
65002302452
71152202010
oct300524000
9115027745
1050505728
1126566779
1214ab7a28
13a604660
1469c9c40
1546799d8
hex302a800

50505728 has 96 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 19906560.

The previous prime is 50505701. The next prime is 50505737. The reversal of 50505728 is 82750505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 50505694 and 50505703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186233 + ... + 186503.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 250505728 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 50505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

50505728 is an abundant number, since it is smaller than the sum of its proper divisors (74244352).

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

50505728 is a wasteful number, since it uses less digits than its factorization.

50505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 50505728 is about 7106.7382110220. The cubic root of 50505728 is about 369.6410641330.

The spelling of 50505728 in words is "fifty million, five hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 271 364 416 448 512 542 728 832 896 1024 1084 1456 1664 1792 1897 2048 2168 2912 3328 3523 3584 3794 4336 5824 6656 7046 7168 7588 8672 11648 13312 14092 14336 15176 17344 23296 24661 26624 28184 30352 34688 46592 49322 56368 60704 69376 93184 98644 112736 121408 138752 186368 197288 225472 242816 277504 394576 450944 485632 555008 789152 901888 971264 1578304 1803776 1942528 3156608 3607552 3885056 6313216 7215104 12626432 25252864 50505728