Search a number
-
+
50576928 = 2532937491
BaseRepresentation
bin1100000011101…
…1111000100000
310112011120111120
43000323320200
5100421430203
65004012240
71152616413
oct300737040
9115146446
1050576928
1126605216
1214b31080
13a62ab9c
146a07b7a
154690b53
hex303be20

50576928 has 96 divisors (see below), whose sum is σ = 141341760. Its totient is φ = 15805440.

The previous prime is 50576923. The next prime is 50576947. The reversal of 50576928 is 82967505.

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

It is a self number, because there is not a number n which added to its sum of digits gives 50576928.

It is not an unprimeable number, because it can be changed into a prime (50576923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102763 + ... + 103253.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 250576928 is an apocalyptic number.

50576928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50576928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670880).

50576928 is an abundant number, since it is smaller than the sum of its proper divisors (90764832).

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

50576928 is a wasteful number, since it uses less digits than its factorization.

50576928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 50576928 is about 7111.7457772336. The cubic root of 50576928 is about 369.8146819720.

The spelling of 50576928 in words is "fifty million, five hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 232 296 348 444 464 491 592 696 888 928 982 1073 1184 1392 1473 1776 1964 2146 2784 2946 3219 3552 3928 4292 5892 6438 7856 8584 11784 12876 14239 15712 17168 18167 23568 25752 28478 34336 36334 42717 47136 51504 54501 56956 72668 85434 103008 109002 113912 145336 170868 218004 227824 290672 341736 436008 455648 526843 581344 683472 872016 1053686 1366944 1580529 1744032 2107372 3161058 4214744 6322116 8429488 12644232 16858976 25288464 50576928