Search a number
-
+
50077008 = 2433196101
BaseRepresentation
bin1011111100000…
…1110101010000
310111020011202000
42333001311100
5100304431013
64545154000
71145435052
oct277016520
9114204660
1050077008
11262a3663
121492b900
13a4b4487
1469178d2
1545e2973
hex2fc1d50

50077008 has 80 divisors (see below), whose sum is σ = 151329600. Its totient is φ = 15811200.

The previous prime is 50076991. The next prime is 50077037. The reversal of 50077008 is 80077005.

50077008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5158 + ... + 11258.

It is an arithmetic number, because the mean of its divisors is an integer number (1891620).

Almost surely, 250077008 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 50077008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75664800).

50077008 is an abundant number, since it is smaller than the sum of its proper divisors (101252592).

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

50077008 is a wasteful number, since it uses less digits than its factorization.

50077008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 50077008 is about 7076.5110047254. The cubic root of 50077008 is about 368.5921861136.

The spelling of 50077008 in words is "fifty million, seventy-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 6101 8208 12202 18303 24404 36606 48808 54909 73212 97616 109818 115919 146424 164727 219636 231838 292848 329454 347757 439272 463676 658908 695514 878544 927352 1043271 1317816 1391028 1854704 2086542 2635632 2782056 3129813 4173084 5564112 6259626 8346168 12519252 16692336 25038504 50077008