Search a number
-
+
50676768 = 2532175961
BaseRepresentation
bin1100000101010…
…0010000100000
310112100122110100
43001110100200
5100433124033
65010102400
71153513452
oct301242040
9115318410
1050676768
112667322a
1214b7aa00
13a66446c
146a322d2
1546b0513
hex3054420

50676768 has 36 divisors (see below), whose sum is σ = 144112878. Its totient is φ = 16892160.

The previous prime is 50676737. The next prime is 50676817. The reversal of 50676768 is 86767605.

50676768 is a `hidden beast` number, since 506 + 76 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27751824 + 22924944 = 5268^2 + 4788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87693 + ... + 88268.

Almost surely, 250676768 is an apocalyptic number.

It is an amenable number.

50676768 is an abundant number, since it is smaller than the sum of its proper divisors (93436110).

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

50676768 is a wasteful number, since it uses less digits than its factorization.

50676768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175977 (or 175966 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 50676768 is about 7118.7616900694. The cubic root of 50676768 is about 370.0578628766.

The spelling of 50676768 in words is "fifty million, six hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 175961 351922 527883 703844 1055766 1407688 1583649 2111532 2815376 3167298 4223064 5630752 6334596 8446128 12669192 16892256 25338384 50676768