[go: up one dir, main page]

Search a number
-
+
50306976 = 2532374721
BaseRepresentation
bin1011111111100…
…1111110100000
310111122212012100
42333321332200
5100334310401
64554130400
71150413366
oct277717640
9114585170
1050306976
1126440415
1214a20a00
13a565055
146977636
15463ab86
hex2ff9fa0

50306976 has 72 divisors (see below), whose sum is σ = 146958084. Its totient is φ = 16312320.

The previous prime is 50306953. The next prime is 50307007. The reversal of 50306976 is 67960305.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 3027600 = 6876^2 + 1740^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50306976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8296 + ... + 13016.

Almost surely, 250306976 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 50306976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73479042).

50306976 is an abundant number, since it is smaller than the sum of its proper divisors (96651108).

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

50306976 is a wasteful number, since it uses less digits than its factorization.

50306976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 50306976 is about 7092.7410780318. The cubic root of 50306976 is about 369.1555516653.

The spelling of 50306976 in words is "fifty million, three hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 4721 5328 9442 10656 14163 18884 28326 37768 42489 56652 75536 84978 113304 151072 169956 174677 226608 339912 349354 453216 524031 679824 698708 1048062 1359648 1397416 1572093 2096124 2794832 3144186 4192248 5589664 6288372 8384496 12576744 16768992 25153488 50306976