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50121216 = 293273149
BaseRepresentation
bin1011111100110…
…0101000000000
310111022102101100
42333030220000
5100312334331
64550134400
71146010665
oct277145000
9114272340
1050121216
11263238a2
1214951400
13a4cb632
146929a6c
154600ae6
hex2fcca00

50121216 has 120 divisors (see below), whose sum is σ = 147618900. Its totient is φ = 16367616.

The previous prime is 50121191. The next prime is 50121217. The reversal of 50121216 is 61212105.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 1679616 = 6960^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50121217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336310 + ... + 336458.

Almost surely, 250121216 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 50121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73809450).

50121216 is an abundant number, since it is smaller than the sum of its proper divisors (97497684).

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

50121216 is a wasteful number, since it uses less digits than its factorization.

50121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 50121216 is about 7079.6338888392. The cubic root of 50121216 is about 368.7006186483.

The spelling of 50121216 in words is "fifty million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 149 192 219 256 288 292 298 384 438 447 512 576 584 596 657 768 876 894 1152 1168 1192 1314 1341 1536 1752 1788 2304 2336 2384 2628 2682 3504 3576 4608 4672 4768 5256 5364 7008 7152 9344 9536 10512 10728 10877 14016 14304 18688 19072 21024 21456 21754 28032 28608 32631 37376 38144 42048 42912 43508 56064 57216 65262 76288 84096 85824 87016 97893 112128 114432 130524 168192 171648 174032 195786 228864 261048 336384 343296 348064 391572 522096 686592 696128 783144 1044192 1392256 1566288 2088384 2784512 3132576 4176768 5569024 6265152 8353536 12530304 16707072 25060608 50121216