Search a number
-
+
50108016 = 24371947167
BaseRepresentation
bin1011111100100…
…1011001110000
310111021202021110
42333021121300
5100311424031
64545553320
71145624340
oct277113160
9114252243
1050108016
1126314992
1214945840
13a4c561a
146924d20
1545ebc46
hex2fc9670

50108016 has 160 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 13195008.

The previous prime is 50107987. The next prime is 50108017. The reversal of 50108016 is 61080105.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 50107983 and 50108001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50108017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299965 + ... + 300131.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 250108016 is an apocalyptic number.

50108016 is a gapful number since it is divisible by the number (56) 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 50108016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

50108016 is an abundant number, since it is smaller than the sum of its proper divisors (109881744).

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

50108016 is a wasteful number, since it uses less digits than its factorization.

50108016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 50108016 is about 7078.7015758541. The cubic root of 50108016 is about 368.6682486204.

The spelling of 50108016 in words is "fifty million, one hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 56 57 76 84 94 112 114 133 141 152 167 168 188 228 266 282 304 329 334 336 376 399 456 501 532 564 658 668 752 798 893 912 987 1002 1064 1128 1169 1316 1336 1596 1786 1974 2004 2128 2256 2338 2632 2672 2679 3173 3192 3507 3572 3948 4008 4676 5264 5358 6251 6346 6384 7014 7144 7849 7896 8016 9352 9519 10716 12502 12692 14028 14288 15698 15792 18704 18753 19038 21432 22211 23547 25004 25384 28056 31396 37506 38076 42864 44422 47094 50008 50768 54943 56112 62792 66633 75012 76152 88844 94188 100016 109886 125584 133266 149131 150024 152304 164829 177688 188376 219772 266532 298262 300048 329658 355376 376752 439544 447393 533064 596524 659316 879088 894786 1043917 1066128 1193048 1318632 1789572 2087834 2386096 2637264 3131751 3579144 4175668 6263502 7158288 8351336 12527004 16702672 25054008 50108016