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50268816 = 2433138951
BaseRepresentation
bin1011111111000…
…0101010010000
310111120220212000
42333300222100
5100332100231
64553234000
71150164213
oct277605220
9114526760
1050268816
1126414784
1214a02900
13a550880
14696777a
15462e6e6
hex2ff0a90

50268816 has 80 divisors (see below), whose sum is σ = 155406720. Its totient is φ = 15465600.

The previous prime is 50268797. The next prime is 50268821. The reversal of 50268816 is 61886205.

It is a happy number.

50268816 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 (36).

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, 1141 + ... + 10091.

It is an arithmetic number, because the mean of its divisors is an integer number (1942584).

Almost surely, 250268816 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 50268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77703360).

50268816 is an abundant number, since it is smaller than the sum of its proper divisors (105137904).

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

50268816 is a wasteful number, since it uses less digits than its factorization.

50268816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 50268816 is about 7090.0504934732. The cubic root of 50268816 is about 369.0621879457.

The spelling of 50268816 in words is "fifty million, two hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 8951 17902 26853 35804 53706 71608 80559 107412 116363 143216 161118 214824 232726 241677 322236 349089 429648 465452 483354 644472 698178 930904 966708 1047267 1288944 1396356 1861808 1933416 2094534 2792712 3141801 3866832 4189068 5585424 6283602 8378136 12567204 16756272 25134408 50268816